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Finding the Third Proportional to 262,941.75 and 412,031.25

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Solution

The third proportional to 262,941.75 and 412,031.25 is: 645,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,941.75 : 412,031.25 = 412,031.25 : x
  2. Step 2: Convert to fraction form
    262,941.75/412,031.25 = 412,031.25/x
  3. Step 3: Cross multiply
    262,941.75x = 412,031.25 × 412,031.25
  4. Step 4: Simplify right side
    262,941.75x = 169,769,750,976.56
  5. Step 5: Solve for x
    x = 169,769,750,976.56/262,941.75
  6. Step 6: Final answer
    x = 645,655.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.