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Finding the Third Proportional to 433,576.50 and 472,243.50

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Solution

The third proportional to 433,576.50 and 472,243.50 is: 514,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,576.50 : 472,243.50 = 472,243.50 : x
  2. Step 2: Convert to fraction form
    433,576.50/472,243.50 = 472,243.50/x
  3. Step 3: Cross multiply
    433,576.50x = 472,243.50 × 472,243.50
  4. Step 4: Simplify right side
    433,576.50x = 223,013,923,292.25
  5. Step 5: Solve for x
    x = 223,013,923,292.25/433,576.50
  6. Step 6: Final answer
    x = 514,358.88

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.