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Finding the Third Proportional to 313,672.50 and 486,385.50

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Solution

The third proportional to 313,672.50 and 486,385.50 is: 754,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,672.50 : 486,385.50 = 486,385.50 : x
  2. Step 2: Convert to fraction form
    313,672.50/486,385.50 = 486,385.50/x
  3. Step 3: Cross multiply
    313,672.50x = 486,385.50 × 486,385.50
  4. Step 4: Simplify right side
    313,672.50x = 236,570,854,610.25
  5. Step 5: Solve for x
    x = 236,570,854,610.25/313,672.50
  6. Step 6: Final answer
    x = 754,196.99

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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.