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Finding the Third Proportional to 517,845 and 699,646.50

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Solution

The third proportional to 517,845 and 699,646.50 is: 945,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,845 : 699,646.50 = 699,646.50 : x
  2. Step 2: Convert to fraction form
    517,845/699,646.50 = 699,646.50/x
  3. Step 3: Cross multiply
    517,845x = 699,646.50 × 699,646.50
  4. Step 4: Simplify right side
    517,845x = 489,505,224,962.25
  5. Step 5: Solve for x
    x = 489,505,224,962.25/517,845
  6. Step 6: Final answer
    x = 945,273.63

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.