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Finding the Third Proportional to 447,475.50 and 650,079

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Solution

The third proportional to 447,475.50 and 650,079 is: 944,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,475.50 : 650,079 = 650,079 : x
  2. Step 2: Convert to fraction form
    447,475.50/650,079 = 650,079/x
  3. Step 3: Cross multiply
    447,475.50x = 650,079 × 650,079
  4. Step 4: Simplify right side
    447,475.50x = 422,602,706,241
  5. Step 5: Solve for x
    x = 422,602,706,241/447,475.50
  6. Step 6: Final answer
    x = 944,415.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.