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Finding the Third Proportional to 435,320 and 616,188

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Solution

The third proportional to 435,320 and 616,188 is: 872,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,320 : 616,188 = 616,188 : x
  2. Step 2: Convert to fraction form
    435,320/616,188 = 616,188/x
  3. Step 3: Cross multiply
    435,320x = 616,188 × 616,188
  4. Step 4: Simplify right side
    435,320x = 379,687,651,344
  5. Step 5: Solve for x
    x = 379,687,651,344/435,320
  6. Step 6: Final answer
    x = 872,203.55

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.