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Finding the Third Proportional to 240,534 and 519,610

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Solution

The third proportional to 240,534 and 519,610 is: 1,122,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,534 : 519,610 = 519,610 : x
  2. Step 2: Convert to fraction form
    240,534/519,610 = 519,610/x
  3. Step 3: Cross multiply
    240,534x = 519,610 × 519,610
  4. Step 4: Simplify right side
    240,534x = 269,994,552,100
  5. Step 5: Solve for x
    x = 269,994,552,100/240,534
  6. Step 6: Final answer
    x = 1,122,479.78

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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.