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Finding the Third Proportional to 398,644 and 596,868

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Solution

The third proportional to 398,644 and 596,868 is: 893,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,644 : 596,868 = 596,868 : x
  2. Step 2: Convert to fraction form
    398,644/596,868 = 596,868/x
  3. Step 3: Cross multiply
    398,644x = 596,868 × 596,868
  4. Step 4: Simplify right side
    398,644x = 356,251,409,424
  5. Step 5: Solve for x
    x = 356,251,409,424/398,644
  6. Step 6: Final answer
    x = 893,658.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.