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Finding the Third Proportional to 366,937.13 and 516,728.25

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Solution

The third proportional to 366,937.13 and 516,728.25 is: 727,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,937.13 : 516,728.25 = 516,728.25 : x
  2. Step 2: Convert to fraction form
    366,937.13/516,728.25 = 516,728.25/x
  3. Step 3: Cross multiply
    366,937.13x = 516,728.25 × 516,728.25
  4. Step 4: Simplify right side
    366,937.13x = 267,008,084,348.06
  5. Step 5: Solve for x
    x = 267,008,084,348.06/366,937.13
  6. Step 6: Final answer
    x = 727,667.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.