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Finding the Third Proportional to 417,696 and 672,552

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Solution

The third proportional to 417,696 and 672,552 is: 1,082,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,696 : 672,552 = 672,552 : x
  2. Step 2: Convert to fraction form
    417,696/672,552 = 672,552/x
  3. Step 3: Cross multiply
    417,696x = 672,552 × 672,552
  4. Step 4: Simplify right side
    417,696x = 452,326,192,704
  5. Step 5: Solve for x
    x = 452,326,192,704/417,696
  6. Step 6: Final answer
    x = 1,082,907.65

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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.