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Finding the Third Proportional to 398,050 and 596,829

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Solution

The third proportional to 398,050 and 596,829 is: 894,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,050 : 596,829 = 596,829 : x
  2. Step 2: Convert to fraction form
    398,050/596,829 = 596,829/x
  3. Step 3: Cross multiply
    398,050x = 596,829 × 596,829
  4. Step 4: Simplify right side
    398,050x = 356,204,855,241
  5. Step 5: Solve for x
    x = 356,204,855,241/398,050
  6. Step 6: Final answer
    x = 894,874.65

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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.