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Finding the Third Proportional to 270,464 and 420,436

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Solution

The third proportional to 270,464 and 420,436 is: 653,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,464 : 420,436 = 420,436 : x
  2. Step 2: Convert to fraction form
    270,464/420,436 = 420,436/x
  3. Step 3: Cross multiply
    270,464x = 420,436 × 420,436
  4. Step 4: Simplify right side
    270,464x = 176,766,430,096
  5. Step 5: Solve for x
    x = 176,766,430,096/270,464
  6. Step 6: Final answer
    x = 653,567.31

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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.