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Finding the Third Proportional to 655,218 and 880,472

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Solution

The third proportional to 655,218 and 880,472 is: 1,183,164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,218 : 880,472 = 880,472 : x
  2. Step 2: Convert to fraction form
    655,218/880,472 = 880,472/x
  3. Step 3: Cross multiply
    655,218x = 880,472 × 880,472
  4. Step 4: Simplify right side
    655,218x = 775,230,942,784
  5. Step 5: Solve for x
    x = 775,230,942,784/655,218
  6. Step 6: Final answer
    x = 1,183,164.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.