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Finding the Third Proportional to 417,704 and 672,564.50

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Solution

The third proportional to 417,704 and 672,564.50 is: 1,082,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,704 : 672,564.50 = 672,564.50 : x
  2. Step 2: Convert to fraction form
    417,704/672,564.50 = 672,564.50/x
  3. Step 3: Cross multiply
    417,704x = 672,564.50 × 672,564.50
  4. Step 4: Simplify right side
    417,704x = 452,343,006,660.25
  5. Step 5: Solve for x
    x = 452,343,006,660.25/417,704
  6. Step 6: Final answer
    x = 1,082,927.16

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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.