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Finding the Third Proportional to 314,718.75 and 471,970.13

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Solution

The third proportional to 314,718.75 and 471,970.13 is: 707,793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,718.75 : 471,970.13 = 471,970.13 : x
  2. Step 2: Convert to fraction form
    314,718.75/471,970.13 = 471,970.13/x
  3. Step 3: Cross multiply
    314,718.75x = 471,970.13 × 471,970.13
  4. Step 4: Simplify right side
    314,718.75x = 222,755,798,892.52
  5. Step 5: Solve for x
    x = 222,755,798,892.52/314,718.75
  6. Step 6: Final answer
    x = 707,793.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.