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Finding the Third Proportional to 306,053 and 475,066.50

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Solution

The third proportional to 306,053 and 475,066.50 is: 737,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,053 : 475,066.50 = 475,066.50 : x
  2. Step 2: Convert to fraction form
    306,053/475,066.50 = 475,066.50/x
  3. Step 3: Cross multiply
    306,053x = 475,066.50 × 475,066.50
  4. Step 4: Simplify right side
    306,053x = 225,688,179,422.25
  5. Step 5: Solve for x
    x = 225,688,179,422.25/306,053
  6. Step 6: Final answer
    x = 737,415.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.