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Finding the Third Proportional to 410,982.75 and 644,872.50

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Solution

The third proportional to 410,982.75 and 644,872.50 is: 1,011,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,982.75 : 644,872.50 = 644,872.50 : x
  2. Step 2: Convert to fraction form
    410,982.75/644,872.50 = 644,872.50/x
  3. Step 3: Cross multiply
    410,982.75x = 644,872.50 × 644,872.50
  4. Step 4: Simplify right side
    410,982.75x = 415,860,541,256.25
  5. Step 5: Solve for x
    x = 415,860,541,256.25/410,982.75
  6. Step 6: Final answer
    x = 1,011,868.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.