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Finding the Third Proportional to 400,521.38 and 600,861.38

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Solution

The third proportional to 400,521.38 and 600,861.38 is: 901,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,521.38 : 600,861.38 = 600,861.38 : x
  2. Step 2: Convert to fraction form
    400,521.38/600,861.38 = 600,861.38/x
  3. Step 3: Cross multiply
    400,521.38x = 600,861.38 × 600,861.38
  4. Step 4: Simplify right side
    400,521.38x = 361,034,391,966.89
  5. Step 5: Solve for x
    x = 361,034,391,966.89/400,521.38
  6. Step 6: Final answer
    x = 901,411.05

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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.