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Finding the Third Proportional to 260,838 and 571,491

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Solution

The third proportional to 260,838 and 571,491 is: 1,252,125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,838 : 571,491 = 571,491 : x
  2. Step 2: Convert to fraction form
    260,838/571,491 = 571,491/x
  3. Step 3: Cross multiply
    260,838x = 571,491 × 571,491
  4. Step 4: Simplify right side
    260,838x = 326,601,963,081
  5. Step 5: Solve for x
    x = 326,601,963,081/260,838
  6. Step 6: Final answer
    x = 1,252,125.70

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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.