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Finding the Third Proportional to 247,770 and 541,046

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Solution

The third proportional to 247,770 and 541,046 is: 1,181,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,770 : 541,046 = 541,046 : x
  2. Step 2: Convert to fraction form
    247,770/541,046 = 541,046/x
  3. Step 3: Cross multiply
    247,770x = 541,046 × 541,046
  4. Step 4: Simplify right side
    247,770x = 292,730,774,116
  5. Step 5: Solve for x
    x = 292,730,774,116/247,770
  6. Step 6: Final answer
    x = 1,181,461.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.