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Finding the Third Proportional to 399,524 and 865,576

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Solution

The third proportional to 399,524 and 865,576 is: 1,875,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,524 : 865,576 = 865,576 : x
  2. Step 2: Convert to fraction form
    399,524/865,576 = 865,576/x
  3. Step 3: Cross multiply
    399,524x = 865,576 × 865,576
  4. Step 4: Simplify right side
    399,524x = 749,221,811,776
  5. Step 5: Solve for x
    x = 749,221,811,776/399,524
  6. Step 6: Final answer
    x = 1,875,286.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.