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Finding the Third Proportional to 199,624 and 432,479

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Solution

The third proportional to 199,624 and 432,479 is: 936,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,624 : 432,479 = 432,479 : x
  2. Step 2: Convert to fraction form
    199,624/432,479 = 432,479/x
  3. Step 3: Cross multiply
    199,624x = 432,479 × 432,479
  4. Step 4: Simplify right side
    199,624x = 187,038,085,441
  5. Step 5: Solve for x
    x = 187,038,085,441/199,624
  6. Step 6: Final answer
    x = 936,951.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.