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Finding the Third Proportional to 297,040.50 and 395,948.25

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Solution

The third proportional to 297,040.50 and 395,948.25 is: 527,790.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,040.50 : 395,948.25 = 395,948.25 : x
  2. Step 2: Convert to fraction form
    297,040.50/395,948.25 = 395,948.25/x
  3. Step 3: Cross multiply
    297,040.50x = 395,948.25 × 395,948.25
  4. Step 4: Simplify right side
    297,040.50x = 156,775,016,678.06
  5. Step 5: Solve for x
    x = 156,775,016,678.06/297,040.50
  6. Step 6: Final answer
    x = 527,790.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.