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Finding the Third Proportional to 250,594 and 411,387

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Solution

The third proportional to 250,594 and 411,387 is: 675,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,594 : 411,387 = 411,387 : x
  2. Step 2: Convert to fraction form
    250,594/411,387 = 411,387/x
  3. Step 3: Cross multiply
    250,594x = 411,387 × 411,387
  4. Step 4: Simplify right side
    250,594x = 169,239,263,769
  5. Step 5: Solve for x
    x = 169,239,263,769/250,594
  6. Step 6: Final answer
    x = 675,352.42

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.