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Finding the Third Proportional to 268,366 and 424,420

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Solution

The third proportional to 268,366 and 424,420 is: 671,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,366 : 424,420 = 424,420 : x
  2. Step 2: Convert to fraction form
    268,366/424,420 = 424,420/x
  3. Step 3: Cross multiply
    268,366x = 424,420 × 424,420
  4. Step 4: Simplify right side
    268,366x = 180,132,336,400
  5. Step 5: Solve for x
    x = 180,132,336,400/268,366
  6. Step 6: Final answer
    x = 671,218.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.