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Finding the Third Proportional to 285,386 and 614,923

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Solution

The third proportional to 285,386 and 614,923 is: 1,324,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,386 : 614,923 = 614,923 : x
  2. Step 2: Convert to fraction form
    285,386/614,923 = 614,923/x
  3. Step 3: Cross multiply
    285,386x = 614,923 × 614,923
  4. Step 4: Simplify right side
    285,386x = 378,130,295,929
  5. Step 5: Solve for x
    x = 378,130,295,929/285,386
  6. Step 6: Final answer
    x = 1,324,978.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.