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Finding the Third Proportional to 399,082.50 and 598,605.75

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Solution

The third proportional to 399,082.50 and 598,605.75 is: 897,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,082.50 : 598,605.75 = 598,605.75 : x
  2. Step 2: Convert to fraction form
    399,082.50/598,605.75 = 598,605.75/x
  3. Step 3: Cross multiply
    399,082.50x = 598,605.75 × 598,605.75
  4. Step 4: Simplify right side
    399,082.50x = 358,328,843,933.06
  5. Step 5: Solve for x
    x = 358,328,843,933.06/399,082.50
  6. Step 6: Final answer
    x = 897,881.63

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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.