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Finding the Third Proportional to 242,426 and 527,578

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Solution

The third proportional to 242,426 and 527,578 is: 1,148,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,426 : 527,578 = 527,578 : x
  2. Step 2: Convert to fraction form
    242,426/527,578 = 527,578/x
  3. Step 3: Cross multiply
    242,426x = 527,578 × 527,578
  4. Step 4: Simplify right side
    242,426x = 278,338,546,084
  5. Step 5: Solve for x
    x = 278,338,546,084/242,426
  6. Step 6: Final answer
    x = 1,148,138.18

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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.