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Finding the Third Proportional to 417,701 and 672,560

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Solution

The third proportional to 417,701 and 672,560 is: 1,082,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,701 : 672,560 = 672,560 : x
  2. Step 2: Convert to fraction form
    417,701/672,560 = 672,560/x
  3. Step 3: Cross multiply
    417,701x = 672,560 × 672,560
  4. Step 4: Simplify right side
    417,701x = 452,336,953,600
  5. Step 5: Solve for x
    x = 452,336,953,600/417,701
  6. Step 6: Final answer
    x = 1,082,920.45

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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.