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Finding the Third Proportional to 565,568 and 829,344

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Solution

The third proportional to 565,568 and 829,344 is: 1,216,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,568 : 829,344 = 829,344 : x
  2. Step 2: Convert to fraction form
    565,568/829,344 = 829,344/x
  3. Step 3: Cross multiply
    565,568x = 829,344 × 829,344
  4. Step 4: Simplify right side
    565,568x = 687,811,470,336
  5. Step 5: Solve for x
    x = 687,811,470,336/565,568
  6. Step 6: Final answer
    x = 1,216,142.83

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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.