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Finding the Third Proportional to 787,702.50 and 1,728,576

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Solution

The third proportional to 787,702.50 and 1,728,576 is: 3,793,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,702.50 : 1,728,576 = 1,728,576 : x
  2. Step 2: Convert to fraction form
    787,702.50/1,728,576 = 1,728,576/x
  3. Step 3: Cross multiply
    787,702.50x = 1,728,576 × 1,728,576
  4. Step 4: Simplify right side
    787,702.50x = 2,987,974,987,776
  5. Step 5: Solve for x
    x = 2,987,974,987,776/787,702.50
  6. Step 6: Final answer
    x = 3,793,278.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.