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Finding the Third Proportional to 242,384 and 518,464

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Solution

The third proportional to 242,384 and 518,464 is: 1,109,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,384 : 518,464 = 518,464 : x
  2. Step 2: Convert to fraction form
    242,384/518,464 = 518,464/x
  3. Step 3: Cross multiply
    242,384x = 518,464 × 518,464
  4. Step 4: Simplify right side
    242,384x = 268,804,919,296
  5. Step 5: Solve for x
    x = 268,804,919,296/242,384
  6. Step 6: Final answer
    x = 1,109,004.39

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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.