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Finding the Third Proportional to 598,872 and 900,738

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Solution

The third proportional to 598,872 and 900,738 is: 1,354,761.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,872 : 900,738 = 900,738 : x
  2. Step 2: Convert to fraction form
    598,872/900,738 = 900,738/x
  3. Step 3: Cross multiply
    598,872x = 900,738 × 900,738
  4. Step 4: Simplify right side
    598,872x = 811,328,944,644
  5. Step 5: Solve for x
    x = 811,328,944,644/598,872
  6. Step 6: Final answer
    x = 1,354,761.86

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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.