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Finding the Third Proportional to 242,428 and 518,552

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Solution

The third proportional to 242,428 and 518,552 is: 1,109,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,428 : 518,552 = 518,552 : x
  2. Step 2: Convert to fraction form
    242,428/518,552 = 518,552/x
  3. Step 3: Cross multiply
    242,428x = 518,552 × 518,552
  4. Step 4: Simplify right side
    242,428x = 268,896,176,704
  5. Step 5: Solve for x
    x = 268,896,176,704/242,428
  6. Step 6: Final answer
    x = 1,109,179.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.