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Finding the Third Proportional to 262,471.50 and 407,193.75

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Solution

The third proportional to 262,471.50 and 407,193.75 is: 631,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,471.50 : 407,193.75 = 407,193.75 : x
  2. Step 2: Convert to fraction form
    262,471.50/407,193.75 = 407,193.75/x
  3. Step 3: Cross multiply
    262,471.50x = 407,193.75 × 407,193.75
  4. Step 4: Simplify right side
    262,471.50x = 165,806,750,039.06
  5. Step 5: Solve for x
    x = 165,806,750,039.06/262,471.50
  6. Step 6: Final answer
    x = 631,713.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.