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Finding the Third Proportional to 260,826 and 571,466

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Solution

The third proportional to 260,826 and 571,466 is: 1,252,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,826 : 571,466 = 571,466 : x
  2. Step 2: Convert to fraction form
    260,826/571,466 = 571,466/x
  3. Step 3: Cross multiply
    260,826x = 571,466 × 571,466
  4. Step 4: Simplify right side
    260,826x = 326,573,389,156
  5. Step 5: Solve for x
    x = 326,573,389,156/260,826
  6. Step 6: Final answer
    x = 1,252,073.75

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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.