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Finding the Third Proportional to 598,298.25 and 897,864

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Solution

The third proportional to 598,298.25 and 897,864 is: 1,347,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,298.25 : 897,864 = 897,864 : x
  2. Step 2: Convert to fraction form
    598,298.25/897,864 = 897,864/x
  3. Step 3: Cross multiply
    598,298.25x = 897,864 × 897,864
  4. Step 4: Simplify right side
    598,298.25x = 806,159,762,496
  5. Step 5: Solve for x
    x = 806,159,762,496/598,298.25
  6. Step 6: Final answer
    x = 1,347,421.23

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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.