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Finding the Third Proportional to 655,748 and 984,228

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Solution

The third proportional to 655,748 and 984,228 is: 1,477,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,748 : 984,228 = 984,228 : x
  2. Step 2: Convert to fraction form
    655,748/984,228 = 984,228/x
  3. Step 3: Cross multiply
    655,748x = 984,228 × 984,228
  4. Step 4: Simplify right side
    655,748x = 968,704,755,984
  5. Step 5: Solve for x
    x = 968,704,755,984/655,748
  6. Step 6: Final answer
    x = 1,477,251.56

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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.