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Finding the Third Proportional to 487,132.50 and 728,718

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Solution

The third proportional to 487,132.50 and 728,718 is: 1,090,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,132.50 : 728,718 = 728,718 : x
  2. Step 2: Convert to fraction form
    487,132.50/728,718 = 728,718/x
  3. Step 3: Cross multiply
    487,132.50x = 728,718 × 728,718
  4. Step 4: Simplify right side
    487,132.50x = 531,029,923,524
  5. Step 5: Solve for x
    x = 531,029,923,524/487,132.50
  6. Step 6: Final answer
    x = 1,090,113.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.