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Finding the Third Proportional to 655,749 and 984,229.50

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Solution

The third proportional to 655,749 and 984,229.50 is: 1,477,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,749 : 984,229.50 = 984,229.50 : x
  2. Step 2: Convert to fraction form
    655,749/984,229.50 = 984,229.50/x
  3. Step 3: Cross multiply
    655,749x = 984,229.50 × 984,229.50
  4. Step 4: Simplify right side
    655,749x = 968,707,708,670.25
  5. Step 5: Solve for x
    x = 968,707,708,670.25/655,749
  6. Step 6: Final answer
    x = 1,477,253.81

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Why These Related Problems?

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