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Finding the Third Proportional to 655,224 and 987,450

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Solution

The third proportional to 655,224 and 987,450 is: 1,488,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,224 : 987,450 = 987,450 : x
  2. Step 2: Convert to fraction form
    655,224/987,450 = 987,450/x
  3. Step 3: Cross multiply
    655,224x = 987,450 × 987,450
  4. Step 4: Simplify right side
    655,224x = 975,057,502,500
  5. Step 5: Solve for x
    x = 975,057,502,500/655,224
  6. Step 6: Final answer
    x = 1,488,128.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.