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Finding the Third Proportional to 576,317 and 849,571

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Solution

The third proportional to 576,317 and 849,571 is: 1,252,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,317 : 849,571 = 849,571 : x
  2. Step 2: Convert to fraction form
    576,317/849,571 = 849,571/x
  3. Step 3: Cross multiply
    576,317x = 849,571 × 849,571
  4. Step 4: Simplify right side
    576,317x = 721,770,884,041
  5. Step 5: Solve for x
    x = 721,770,884,041/576,317
  6. Step 6: Final answer
    x = 1,252,385.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.