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Finding the Third Proportional to 370,254,460.50 and 771,154,663.50

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Solution

The third proportional to 370,254,460.50 and 771,154,663.50 is: 1,606,137,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,254,460.50 : 771,154,663.50 = 771,154,663.50 : x
  2. Step 2: Convert to fraction form
    370,254,460.50/771,154,663.50 = 771,154,663.50/x
  3. Step 3: Cross multiply
    370,254,460.50x = 771,154,663.50 × 771,154,663.50
  4. Step 4: Simplify right side
    370,254,460.50x = 594,679,515,037,798,272
  5. Step 5: Solve for x
    x = 594,679,515,037,798,272/370,254,460.50
  6. Step 6: Final answer
    x = 1,606,137,341.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.