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Finding the Third Proportional to 247,330 and 538,508

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Solution

The third proportional to 247,330 and 538,508 is: 1,172,485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,330 : 538,508 = 538,508 : x
  2. Step 2: Convert to fraction form
    247,330/538,508 = 538,508/x
  3. Step 3: Cross multiply
    247,330x = 538,508 × 538,508
  4. Step 4: Simplify right side
    247,330x = 289,990,866,064
  5. Step 5: Solve for x
    x = 289,990,866,064/247,330
  6. Step 6: Final answer
    x = 1,172,485.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.