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Finding the Third Proportional to 242,417 and 527,562

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Solution

The third proportional to 242,417 and 527,562 is: 1,148,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,417 : 527,562 = 527,562 : x
  2. Step 2: Convert to fraction form
    242,417/527,562 = 527,562/x
  3. Step 3: Cross multiply
    242,417x = 527,562 × 527,562
  4. Step 4: Simplify right side
    242,417x = 278,321,663,844
  5. Step 5: Solve for x
    x = 278,321,663,844/242,417
  6. Step 6: Final answer
    x = 1,148,111.16

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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.