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Finding the Third Proportional to 313,608 and 477,787.50

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Solution

The third proportional to 313,608 and 477,787.50 is: 727,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,608 : 477,787.50 = 477,787.50 : x
  2. Step 2: Convert to fraction form
    313,608/477,787.50 = 477,787.50/x
  3. Step 3: Cross multiply
    313,608x = 477,787.50 × 477,787.50
  4. Step 4: Simplify right side
    313,608x = 228,280,895,156.25
  5. Step 5: Solve for x
    x = 228,280,895,156.25/313,608
  6. Step 6: Final answer
    x = 727,917.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.