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Finding the Third Proportional to 466,348.50 and 720,132.19

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Solution

The third proportional to 466,348.50 and 720,132.19 is: 1,112,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,348.50 : 720,132.19 = 720,132.19 : x
  2. Step 2: Convert to fraction form
    466,348.50/720,132.19 = 720,132.19/x
  3. Step 3: Cross multiply
    466,348.50x = 720,132.19 × 720,132.19
  4. Step 4: Simplify right side
    466,348.50x = 518,590,367,473.54
  5. Step 5: Solve for x
    x = 518,590,367,473.54/466,348.50
  6. Step 6: Final answer
    x = 1,112,023.23

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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.