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Finding the Third Proportional to 333,538 and 499,395

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Solution

The third proportional to 333,538 and 499,395 is: 747,726.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,538 : 499,395 = 499,395 : x
  2. Step 2: Convert to fraction form
    333,538/499,395 = 499,395/x
  3. Step 3: Cross multiply
    333,538x = 499,395 × 499,395
  4. Step 4: Simplify right side
    333,538x = 249,395,366,025
  5. Step 5: Solve for x
    x = 249,395,366,025/333,538
  6. Step 6: Final answer
    x = 747,726.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.