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Finding the Third Proportional to 333,488 and 499,315

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Solution

The third proportional to 333,488 and 499,315 is: 747,599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,488 : 499,315 = 499,315 : x
  2. Step 2: Convert to fraction form
    333,488/499,315 = 499,315/x
  3. Step 3: Cross multiply
    333,488x = 499,315 × 499,315
  4. Step 4: Simplify right side
    333,488x = 249,315,469,225
  5. Step 5: Solve for x
    x = 249,315,469,225/333,488
  6. Step 6: Final answer
    x = 747,599.52

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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.