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Finding the Third Proportional to 488,962.13 and 747,976.13

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Solution

The third proportional to 488,962.13 and 747,976.13 is: 1,144,195.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,962.13 : 747,976.13 = 747,976.13 : x
  2. Step 2: Convert to fraction form
    488,962.13/747,976.13 = 747,976.13/x
  3. Step 3: Cross multiply
    488,962.13x = 747,976.13 × 747,976.13
  4. Step 4: Simplify right side
    488,962.13x = 559,468,283,570.02
  5. Step 5: Solve for x
    x = 559,468,283,570.02/488,962.13
  6. Step 6: Final answer
    x = 1,144,195.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.