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Finding the Third Proportional to 598,140 and 888,564

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Solution

The third proportional to 598,140 and 888,564 is: 1,320,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,140 : 888,564 = 888,564 : x
  2. Step 2: Convert to fraction form
    598,140/888,564 = 888,564/x
  3. Step 3: Cross multiply
    598,140x = 888,564 × 888,564
  4. Step 4: Simplify right side
    598,140x = 789,545,982,096
  5. Step 5: Solve for x
    x = 789,545,982,096/598,140
  6. Step 6: Final answer
    x = 1,320,001.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.