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Finding the Third Proportional to 242,464 and 518,624

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Solution

The third proportional to 242,464 and 518,624 is: 1,109,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,464 : 518,624 = 518,624 : x
  2. Step 2: Convert to fraction form
    242,464/518,624 = 518,624/x
  3. Step 3: Cross multiply
    242,464x = 518,624 × 518,624
  4. Step 4: Simplify right side
    242,464x = 268,970,853,376
  5. Step 5: Solve for x
    x = 268,970,853,376/242,464
  6. Step 6: Final answer
    x = 1,109,322.84

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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.