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Finding the Third Proportional to 260,839.50 and 571,683

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Solution

The third proportional to 260,839.50 and 571,683 is: 1,252,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,839.50 : 571,683 = 571,683 : x
  2. Step 2: Convert to fraction form
    260,839.50/571,683 = 571,683/x
  3. Step 3: Cross multiply
    260,839.50x = 571,683 × 571,683
  4. Step 4: Simplify right side
    260,839.50x = 326,821,452,489
  5. Step 5: Solve for x
    x = 326,821,452,489/260,839.50
  6. Step 6: Final answer
    x = 1,252,959.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.