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Finding the Third Proportional to 417,705 and 672,566

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Solution

The third proportional to 417,705 and 672,566 is: 1,082,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,705 : 672,566 = 672,566 : x
  2. Step 2: Convert to fraction form
    417,705/672,566 = 672,566/x
  3. Step 3: Cross multiply
    417,705x = 672,566 × 672,566
  4. Step 4: Simplify right side
    417,705x = 452,345,024,356
  5. Step 5: Solve for x
    x = 452,345,024,356/417,705
  6. Step 6: Final answer
    x = 1,082,929.40

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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.