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Finding the Third Proportional to 638,224.50 and 944,721

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Solution

The third proportional to 638,224.50 and 944,721 is: 1,398,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,224.50 : 944,721 = 944,721 : x
  2. Step 2: Convert to fraction form
    638,224.50/944,721 = 944,721/x
  3. Step 3: Cross multiply
    638,224.50x = 944,721 × 944,721
  4. Step 4: Simplify right side
    638,224.50x = 892,497,767,841
  5. Step 5: Solve for x
    x = 892,497,767,841/638,224.50
  6. Step 6: Final answer
    x = 1,398,407.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.