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Finding the Third Proportional to 247,221 and 538,506

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Solution

The third proportional to 247,221 and 538,506 is: 1,172,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,221 : 538,506 = 538,506 : x
  2. Step 2: Convert to fraction form
    247,221/538,506 = 538,506/x
  3. Step 3: Cross multiply
    247,221x = 538,506 × 538,506
  4. Step 4: Simplify right side
    247,221x = 289,988,712,036
  5. Step 5: Solve for x
    x = 289,988,712,036/247,221
  6. Step 6: Final answer
    x = 1,172,993.85

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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.