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Finding the Third Proportional to 462,960.56 and 660,764.46

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Solution

The third proportional to 462,960.56 and 660,764.46 is: 943,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,960.56 : 660,764.46 = 660,764.46 : x
  2. Step 2: Convert to fraction form
    462,960.56/660,764.46 = 660,764.46/x
  3. Step 3: Cross multiply
    462,960.56x = 660,764.46 × 660,764.46
  4. Step 4: Simplify right side
    462,960.56x = 436,609,672,838.03
  5. Step 5: Solve for x
    x = 436,609,672,838.03/462,960.56
  6. Step 6: Final answer
    x = 943,081.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.