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Finding the Third Proportional to 417,708 and 672,569

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Solution

The third proportional to 417,708 and 672,569 is: 1,082,931.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,708 : 672,569 = 672,569 : x
  2. Step 2: Convert to fraction form
    417,708/672,569 = 672,569/x
  3. Step 3: Cross multiply
    417,708x = 672,569 × 672,569
  4. Step 4: Simplify right side
    417,708x = 452,349,059,761
  5. Step 5: Solve for x
    x = 452,349,059,761/417,708
  6. Step 6: Final answer
    x = 1,082,931.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.