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Finding the Third Proportional to 398,967.75 and 598,848.75

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Solution

The third proportional to 398,967.75 and 598,848.75 is: 898,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,967.75 : 598,848.75 = 598,848.75 : x
  2. Step 2: Convert to fraction form
    398,967.75/598,848.75 = 598,848.75/x
  3. Step 3: Cross multiply
    398,967.75x = 598,848.75 × 598,848.75
  4. Step 4: Simplify right side
    398,967.75x = 358,619,825,376.56
  5. Step 5: Solve for x
    x = 358,619,825,376.56/398,967.75
  6. Step 6: Final answer
    x = 898,869.21

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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.