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Finding the Third Proportional to 240,521 and 518,324

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Solution

The third proportional to 240,521 and 518,324 is: 1,116,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,521 : 518,324 = 518,324 : x
  2. Step 2: Convert to fraction form
    240,521/518,324 = 518,324/x
  3. Step 3: Cross multiply
    240,521x = 518,324 × 518,324
  4. Step 4: Simplify right side
    240,521x = 268,659,768,976
  5. Step 5: Solve for x
    x = 268,659,768,976/240,521
  6. Step 6: Final answer
    x = 1,116,990.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.