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Finding the Third Proportional to 260,493 and 534,810

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Solution

The third proportional to 260,493 and 534,810 is: 1,098,001.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,493 : 534,810 = 534,810 : x
  2. Step 2: Convert to fraction form
    260,493/534,810 = 534,810/x
  3. Step 3: Cross multiply
    260,493x = 534,810 × 534,810
  4. Step 4: Simplify right side
    260,493x = 286,021,736,100
  5. Step 5: Solve for x
    x = 286,021,736,100/260,493
  6. Step 6: Final answer
    x = 1,098,001.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.