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Finding the Third Proportional to 240,481 and 380,775

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Solution

The third proportional to 240,481 and 380,775 is: 602,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,481 : 380,775 = 380,775 : x
  2. Step 2: Convert to fraction form
    240,481/380,775 = 380,775/x
  3. Step 3: Cross multiply
    240,481x = 380,775 × 380,775
  4. Step 4: Simplify right side
    240,481x = 144,989,600,625
  5. Step 5: Solve for x
    x = 144,989,600,625/240,481
  6. Step 6: Final answer
    x = 602,914.99

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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.