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Finding the Third Proportional to 240,766 and 518,532

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Solution

The third proportional to 240,766 and 518,532 is: 1,116,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,766 : 518,532 = 518,532 : x
  2. Step 2: Convert to fraction form
    240,766/518,532 = 518,532/x
  3. Step 3: Cross multiply
    240,766x = 518,532 × 518,532
  4. Step 4: Simplify right side
    240,766x = 268,875,435,024
  5. Step 5: Solve for x
    x = 268,875,435,024/240,766
  6. Step 6: Final answer
    x = 1,116,750.02

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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.