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Finding the Third Proportional to 297,778.50 and 461,445.75

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Solution

The third proportional to 297,778.50 and 461,445.75 is: 715,069.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,778.50 : 461,445.75 = 461,445.75 : x
  2. Step 2: Convert to fraction form
    297,778.50/461,445.75 = 461,445.75/x
  3. Step 3: Cross multiply
    297,778.50x = 461,445.75 × 461,445.75
  4. Step 4: Simplify right side
    297,778.50x = 212,932,180,193.06
  5. Step 5: Solve for x
    x = 212,932,180,193.06/297,778.50
  6. Step 6: Final answer
    x = 715,069.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.