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Finding the Third Proportional to 295,170.75 and 466,654.50

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Solution

The third proportional to 295,170.75 and 466,654.50 is: 737,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,170.75 : 466,654.50 = 466,654.50 : x
  2. Step 2: Convert to fraction form
    295,170.75/466,654.50 = 466,654.50/x
  3. Step 3: Cross multiply
    295,170.75x = 466,654.50 × 466,654.50
  4. Step 4: Simplify right side
    295,170.75x = 217,766,422,370.25
  5. Step 5: Solve for x
    x = 217,766,422,370.25/295,170.75
  6. Step 6: Final answer
    x = 737,764.23

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.