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Finding the Third Proportional to 553,536.75 and 826,031.25

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Solution

The third proportional to 553,536.75 and 826,031.25 is: 1,232,669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,536.75 : 826,031.25 = 826,031.25 : x
  2. Step 2: Convert to fraction form
    553,536.75/826,031.25 = 826,031.25/x
  3. Step 3: Cross multiply
    553,536.75x = 826,031.25 × 826,031.25
  4. Step 4: Simplify right side
    553,536.75x = 682,327,625,976.56
  5. Step 5: Solve for x
    x = 682,327,625,976.56/553,536.75
  6. Step 6: Final answer
    x = 1,232,669.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.