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Finding the Third Proportional to 260,824 and 571,463

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Solution

The third proportional to 260,824 and 571,463 is: 1,252,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,824 : 571,463 = 571,463 : x
  2. Step 2: Convert to fraction form
    260,824/571,463 = 571,463/x
  3. Step 3: Cross multiply
    260,824x = 571,463 × 571,463
  4. Step 4: Simplify right side
    260,824x = 326,569,960,369
  5. Step 5: Solve for x
    x = 326,569,960,369/260,824
  6. Step 6: Final answer
    x = 1,252,070.21

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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.