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Finding the Third Proportional to 397,013.50 and 614,902.50

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Solution

The third proportional to 397,013.50 and 614,902.50 is: 952,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,013.50 : 614,902.50 = 614,902.50 : x
  2. Step 2: Convert to fraction form
    397,013.50/614,902.50 = 614,902.50/x
  3. Step 3: Cross multiply
    397,013.50x = 614,902.50 × 614,902.50
  4. Step 4: Simplify right side
    397,013.50x = 378,105,084,506.25
  5. Step 5: Solve for x
    x = 378,105,084,506.25/397,013.50
  6. Step 6: Final answer
    x = 952,373.37

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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.