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Finding the Third Proportional to 385,444 and 565,568

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Solution

The third proportional to 385,444 and 565,568 is: 829,866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,444 : 565,568 = 565,568 : x
  2. Step 2: Convert to fraction form
    385,444/565,568 = 565,568/x
  3. Step 3: Cross multiply
    385,444x = 565,568 × 565,568
  4. Step 4: Simplify right side
    385,444x = 319,867,162,624
  5. Step 5: Solve for x
    x = 319,867,162,624/385,444
  6. Step 6: Final answer
    x = 829,866.76

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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.