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Finding the Third Proportional to 580,963.50 and 792,031.50

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Solution

The third proportional to 580,963.50 and 792,031.50 is: 1,079,781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,963.50 : 792,031.50 = 792,031.50 : x
  2. Step 2: Convert to fraction form
    580,963.50/792,031.50 = 792,031.50/x
  3. Step 3: Cross multiply
    580,963.50x = 792,031.50 × 792,031.50
  4. Step 4: Simplify right side
    580,963.50x = 627,313,896,992.25
  5. Step 5: Solve for x
    x = 627,313,896,992.25/580,963.50
  6. Step 6: Final answer
    x = 1,079,781.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.