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Finding the Third Proportional to 463,473.75 and 717,262.50

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Solution

The third proportional to 463,473.75 and 717,262.50 is: 1,110,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,473.75 : 717,262.50 = 717,262.50 : x
  2. Step 2: Convert to fraction form
    463,473.75/717,262.50 = 717,262.50/x
  3. Step 3: Cross multiply
    463,473.75x = 717,262.50 × 717,262.50
  4. Step 4: Simplify right side
    463,473.75x = 514,465,493,906.25
  5. Step 5: Solve for x
    x = 514,465,493,906.25/463,473.75
  6. Step 6: Final answer
    x = 1,110,020.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.