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Finding the Third Proportional to 488,138.25 and 750,792.75

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Solution

The third proportional to 488,138.25 and 750,792.75 is: 1,154,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,138.25 : 750,792.75 = 750,792.75 : x
  2. Step 2: Convert to fraction form
    488,138.25/750,792.75 = 750,792.75/x
  3. Step 3: Cross multiply
    488,138.25x = 750,792.75 × 750,792.75
  4. Step 4: Simplify right side
    488,138.25x = 563,689,753,452.56
  5. Step 5: Solve for x
    x = 563,689,753,452.56/488,138.25
  6. Step 6: Final answer
    x = 1,154,774.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.