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Finding the Third Proportional to 242,196 and 527,982

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Solution

The third proportional to 242,196 and 527,982 is: 1,150,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,196 : 527,982 = 527,982 : x
  2. Step 2: Convert to fraction form
    242,196/527,982 = 527,982/x
  3. Step 3: Cross multiply
    242,196x = 527,982 × 527,982
  4. Step 4: Simplify right side
    242,196x = 278,764,992,324
  5. Step 5: Solve for x
    x = 278,764,992,324/242,196
  6. Step 6: Final answer
    x = 1,150,989.25

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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.