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Finding the Third Proportional to 350,499 and 762,508

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Solution

The third proportional to 350,499 and 762,508 is: 1,658,830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,499 : 762,508 = 762,508 : x
  2. Step 2: Convert to fraction form
    350,499/762,508 = 762,508/x
  3. Step 3: Cross multiply
    350,499x = 762,508 × 762,508
  4. Step 4: Simplify right side
    350,499x = 581,418,450,064
  5. Step 5: Solve for x
    x = 581,418,450,064/350,499
  6. Step 6: Final answer
    x = 1,658,830.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.