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Finding the Third Proportional to 398,308.50 and 597,894.75

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Solution

The third proportional to 398,308.50 and 597,894.75 is: 897,490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,308.50 : 597,894.75 = 597,894.75 : x
  2. Step 2: Convert to fraction form
    398,308.50/597,894.75 = 597,894.75/x
  3. Step 3: Cross multiply
    398,308.50x = 597,894.75 × 597,894.75
  4. Step 4: Simplify right side
    398,308.50x = 357,478,132,077.56
  5. Step 5: Solve for x
    x = 357,478,132,077.56/398,308.50
  6. Step 6: Final answer
    x = 897,490.59

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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.