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Finding the Third Proportional to 259,820 and 566,660

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Solution

The third proportional to 259,820 and 566,660 is: 1,235,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,820 : 566,660 = 566,660 : x
  2. Step 2: Convert to fraction form
    259,820/566,660 = 566,660/x
  3. Step 3: Cross multiply
    259,820x = 566,660 × 566,660
  4. Step 4: Simplify right side
    259,820x = 321,103,555,600
  5. Step 5: Solve for x
    x = 321,103,555,600/259,820
  6. Step 6: Final answer
    x = 1,235,869.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.