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Finding the Third Proportional to 268,542 and 376,446

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Solution

The third proportional to 268,542 and 376,446 is: 527,707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,542 : 376,446 = 376,446 : x
  2. Step 2: Convert to fraction form
    268,542/376,446 = 376,446/x
  3. Step 3: Cross multiply
    268,542x = 376,446 × 376,446
  4. Step 4: Simplify right side
    268,542x = 141,711,590,916
  5. Step 5: Solve for x
    x = 141,711,590,916/268,542
  6. Step 6: Final answer
    x = 527,707.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.