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Finding the Third Proportional to 398,956.50 and 598,835.25

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Solution

The third proportional to 398,956.50 and 598,835.25 is: 898,854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,956.50 : 598,835.25 = 598,835.25 : x
  2. Step 2: Convert to fraction form
    398,956.50/598,835.25 = 598,835.25/x
  3. Step 3: Cross multiply
    398,956.50x = 598,835.25 × 598,835.25
  4. Step 4: Simplify right side
    398,956.50x = 358,603,656,642.56
  5. Step 5: Solve for x
    x = 358,603,656,642.56/398,956.50
  6. Step 6: Final answer
    x = 898,854.03

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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.