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Finding the Third Proportional to 398,630 and 596,847

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Solution

The third proportional to 398,630 and 596,847 is: 893,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,630 : 596,847 = 596,847 : x
  2. Step 2: Convert to fraction form
    398,630/596,847 = 596,847/x
  3. Step 3: Cross multiply
    398,630x = 596,847 × 596,847
  4. Step 4: Simplify right side
    398,630x = 356,226,341,409
  5. Step 5: Solve for x
    x = 356,226,341,409/398,630
  6. Step 6: Final answer
    x = 893,626.52

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