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Finding the Third Proportional to 260,658 and 571,185

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Solution

The third proportional to 260,658 and 571,185 is: 1,251,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,658 : 571,185 = 571,185 : x
  2. Step 2: Convert to fraction form
    260,658/571,185 = 571,185/x
  3. Step 3: Cross multiply
    260,658x = 571,185 × 571,185
  4. Step 4: Simplify right side
    260,658x = 326,252,304,225
  5. Step 5: Solve for x
    x = 326,252,304,225/260,658
  6. Step 6: Final answer
    x = 1,251,648.92

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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.