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Finding the Third Proportional to 437,331.66 and 714,123.84

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Solution

The third proportional to 437,331.66 and 714,123.84 is: 1,166,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,331.66 : 714,123.84 = 714,123.84 : x
  2. Step 2: Convert to fraction form
    437,331.66/714,123.84 = 714,123.84/x
  3. Step 3: Cross multiply
    437,331.66x = 714,123.84 × 714,123.84
  4. Step 4: Simplify right side
    437,331.66x = 509,972,864,212.27
  5. Step 5: Solve for x
    x = 509,972,864,212.27/437,331.66
  6. Step 6: Final answer
    x = 1,166,100.96

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.