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Finding the Third Proportional to 180,444 and 391,624

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Solution

The third proportional to 180,444 and 391,624 is: 849,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,444 : 391,624 = 391,624 : x
  2. Step 2: Convert to fraction form
    180,444/391,624 = 391,624/x
  3. Step 3: Cross multiply
    180,444x = 391,624 × 391,624
  4. Step 4: Simplify right side
    180,444x = 153,369,357,376
  5. Step 5: Solve for x
    x = 153,369,357,376/180,444
  6. Step 6: Final answer
    x = 849,955.43

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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.