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Finding the Third Proportional to 516,404.75 and 704,019

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Solution

The third proportional to 516,404.75 and 704,019 is: 959,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,404.75 : 704,019 = 704,019 : x
  2. Step 2: Convert to fraction form
    516,404.75/704,019 = 704,019/x
  3. Step 3: Cross multiply
    516,404.75x = 704,019 × 704,019
  4. Step 4: Simplify right side
    516,404.75x = 495,642,752,361
  5. Step 5: Solve for x
    x = 495,642,752,361/516,404.75
  6. Step 6: Final answer
    x = 959,795.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.