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Finding the Third Proportional to 333,537 and 499,393

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Solution

The third proportional to 333,537 and 499,393 is: 747,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,537 : 499,393 = 499,393 : x
  2. Step 2: Convert to fraction form
    333,537/499,393 = 499,393/x
  3. Step 3: Cross multiply
    333,537x = 499,393 × 499,393
  4. Step 4: Simplify right side
    333,537x = 249,393,368,449
  5. Step 5: Solve for x
    x = 249,393,368,449/333,537
  6. Step 6: Final answer
    x = 747,723.25

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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.