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Finding the Third Proportional to 588,456 and 901,638

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Solution

The third proportional to 588,456 and 901,638 is: 1,381,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,456 : 901,638 = 901,638 : x
  2. Step 2: Convert to fraction form
    588,456/901,638 = 901,638/x
  3. Step 3: Cross multiply
    588,456x = 901,638 × 901,638
  4. Step 4: Simplify right side
    588,456x = 812,951,083,044
  5. Step 5: Solve for x
    x = 812,951,083,044/588,456
  6. Step 6: Final answer
    x = 1,381,498.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.