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Finding the Third Proportional to 242,400 and 518,496

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Solution

The third proportional to 242,400 and 518,496 is: 1,109,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,400 : 518,496 = 518,496 : x
  2. Step 2: Convert to fraction form
    242,400/518,496 = 518,496/x
  3. Step 3: Cross multiply
    242,400x = 518,496 × 518,496
  4. Step 4: Simplify right side
    242,400x = 268,838,102,016
  5. Step 5: Solve for x
    x = 268,838,102,016/242,400
  6. Step 6: Final answer
    x = 1,109,068.08

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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.