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Finding the Third Proportional to 240,924 and 518,850

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Solution

The third proportional to 240,924 and 518,850 is: 1,117,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,924 : 518,850 = 518,850 : x
  2. Step 2: Convert to fraction form
    240,924/518,850 = 518,850/x
  3. Step 3: Cross multiply
    240,924x = 518,850 × 518,850
  4. Step 4: Simplify right side
    240,924x = 269,205,322,500
  5. Step 5: Solve for x
    x = 269,205,322,500/240,924
  6. Step 6: Final answer
    x = 1,117,386.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.