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Finding the Third Proportional to 260,852 and 571,708

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Solution

The third proportional to 260,852 and 571,708 is: 1,253,009.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,852 : 571,708 = 571,708 : x
  2. Step 2: Convert to fraction form
    260,852/571,708 = 571,708/x
  3. Step 3: Cross multiply
    260,852x = 571,708 × 571,708
  4. Step 4: Simplify right side
    260,852x = 326,850,037,264
  5. Step 5: Solve for x
    x = 326,850,037,264/260,852
  6. Step 6: Final answer
    x = 1,253,009.51

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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.