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Finding the Third Proportional to 397,220.20 and 510,020.30

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Solution

The third proportional to 397,220.20 and 510,020.30 is: 654,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,220.20 : 510,020.30 = 510,020.30 : x
  2. Step 2: Convert to fraction form
    397,220.20/510,020.30 = 510,020.30/x
  3. Step 3: Cross multiply
    397,220.20x = 510,020.30 × 510,020.30
  4. Step 4: Simplify right side
    397,220.20x = 260,120,703,224.46
  5. Step 5: Solve for x
    x = 260,120,703,224.46/397,220.20
  6. Step 6: Final answer
    x = 654,852.65

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.