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Finding the Third Proportional to 366,160.50 and 488,727

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Solution

The third proportional to 366,160.50 and 488,727 is: 652,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,160.50 : 488,727 = 488,727 : x
  2. Step 2: Convert to fraction form
    366,160.50/488,727 = 488,727/x
  3. Step 3: Cross multiply
    366,160.50x = 488,727 × 488,727
  4. Step 4: Simplify right side
    366,160.50x = 238,854,080,529
  5. Step 5: Solve for x
    x = 238,854,080,529/366,160.50
  6. Step 6: Final answer
    x = 652,320.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.