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Finding the Third Proportional to 408,364.50 and 887,583.75

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Solution

The third proportional to 408,364.50 and 887,583.75 is: 1,929,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,364.50 : 887,583.75 = 887,583.75 : x
  2. Step 2: Convert to fraction form
    408,364.50/887,583.75 = 887,583.75/x
  3. Step 3: Cross multiply
    408,364.50x = 887,583.75 × 887,583.75
  4. Step 4: Simplify right side
    408,364.50x = 787,804,913,264.06
  5. Step 5: Solve for x
    x = 787,804,913,264.06/408,364.50
  6. Step 6: Final answer
    x = 1,929,170.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.