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Finding the Third Proportional to 234,967.50 and 482,385

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Solution

The third proportional to 234,967.50 and 482,385 is: 990,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,967.50 : 482,385 = 482,385 : x
  2. Step 2: Convert to fraction form
    234,967.50/482,385 = 482,385/x
  3. Step 3: Cross multiply
    234,967.50x = 482,385 × 482,385
  4. Step 4: Simplify right side
    234,967.50x = 232,695,288,225
  5. Step 5: Solve for x
    x = 232,695,288,225/234,967.50
  6. Step 6: Final answer
    x = 990,329.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.