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Finding the Third Proportional to 408,480 and 897,591

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Solution

The third proportional to 408,480 and 897,591 is: 1,972,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,480 : 897,591 = 897,591 : x
  2. Step 2: Convert to fraction form
    408,480/897,591 = 897,591/x
  3. Step 3: Cross multiply
    408,480x = 897,591 × 897,591
  4. Step 4: Simplify right side
    408,480x = 805,669,603,281
  5. Step 5: Solve for x
    x = 805,669,603,281/408,480
  6. Step 6: Final answer
    x = 1,972,359.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.