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Finding the Third Proportional to 440,407.13 and 506,017.13

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Solution

The third proportional to 440,407.13 and 506,017.13 is: 581,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,407.13 : 506,017.13 = 506,017.13 : x
  2. Step 2: Convert to fraction form
    440,407.13/506,017.13 = 506,017.13/x
  3. Step 3: Cross multiply
    440,407.13x = 506,017.13 × 506,017.13
  4. Step 4: Simplify right side
    440,407.13x = 256,053,330,793.27
  5. Step 5: Solve for x
    x = 256,053,330,793.27/440,407.13
  6. Step 6: Final answer
    x = 581,401.43

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.