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Finding the Third Proportional to 240,694 and 381,453

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Solution

The third proportional to 240,694 and 381,453 is: 604,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,694 : 381,453 = 381,453 : x
  2. Step 2: Convert to fraction form
    240,694/381,453 = 381,453/x
  3. Step 3: Cross multiply
    240,694x = 381,453 × 381,453
  4. Step 4: Simplify right side
    240,694x = 145,506,391,209
  5. Step 5: Solve for x
    x = 145,506,391,209/240,694
  6. Step 6: Final answer
    x = 604,528.54

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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.