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Finding the Third Proportional to 657,851.50 and 984,100

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Solution

The third proportional to 657,851.50 and 984,100 is: 1,472,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,851.50 : 984,100 = 984,100 : x
  2. Step 2: Convert to fraction form
    657,851.50/984,100 = 984,100/x
  3. Step 3: Cross multiply
    657,851.50x = 984,100 × 984,100
  4. Step 4: Simplify right side
    657,851.50x = 968,452,810,000
  5. Step 5: Solve for x
    x = 968,452,810,000/657,851.50
  6. Step 6: Final answer
    x = 1,472,145.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.