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Finding the Third Proportional to 655,746 and 984,225

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Solution

The third proportional to 655,746 and 984,225 is: 1,477,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,746 : 984,225 = 984,225 : x
  2. Step 2: Convert to fraction form
    655,746/984,225 = 984,225/x
  3. Step 3: Cross multiply
    655,746x = 984,225 × 984,225
  4. Step 4: Simplify right side
    655,746x = 968,698,850,625
  5. Step 5: Solve for x
    x = 968,698,850,625/655,746
  6. Step 6: Final answer
    x = 1,477,247.06

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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.