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Finding the Third Proportional to 532,361.50 and 797,722

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Solution

The third proportional to 532,361.50 and 797,722 is: 1,195,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,361.50 : 797,722 = 797,722 : x
  2. Step 2: Convert to fraction form
    532,361.50/797,722 = 797,722/x
  3. Step 3: Cross multiply
    532,361.50x = 797,722 × 797,722
  4. Step 4: Simplify right side
    532,361.50x = 636,360,389,284
  5. Step 5: Solve for x
    x = 636,360,389,284/532,361.50
  6. Step 6: Final answer
    x = 1,195,353.89

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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.