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Finding the Third Proportional to 732,580.88 and 1,132,084.69

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Solution

The third proportional to 732,580.88 and 1,132,084.69 is: 1,749,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,580.88 : 1,132,084.69 = 1,132,084.69 : x
  2. Step 2: Convert to fraction form
    732,580.88/1,132,084.69 = 1,132,084.69/x
  3. Step 3: Cross multiply
    732,580.88x = 1,132,084.69 × 1,132,084.69
  4. Step 4: Simplify right side
    732,580.88x = 1,281,615,739,671.97
  5. Step 5: Solve for x
    x = 1,281,615,739,671.97/732,580.88
  6. Step 6: Final answer
    x = 1,749,452.90

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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.