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Finding the Third Proportional to 242,442 and 518,580

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Solution

The third proportional to 242,442 and 518,580 is: 1,109,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,442 : 518,580 = 518,580 : x
  2. Step 2: Convert to fraction form
    242,442/518,580 = 518,580/x
  3. Step 3: Cross multiply
    242,442x = 518,580 × 518,580
  4. Step 4: Simplify right side
    242,442x = 268,925,216,400
  5. Step 5: Solve for x
    x = 268,925,216,400/242,442
  6. Step 6: Final answer
    x = 1,109,235.27

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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.