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Finding the Third Proportional to 633,156.75 and 905,353.50

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Solution

The third proportional to 633,156.75 and 905,353.50 is: 1,294,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,156.75 : 905,353.50 = 905,353.50 : x
  2. Step 2: Convert to fraction form
    633,156.75/905,353.50 = 905,353.50/x
  3. Step 3: Cross multiply
    633,156.75x = 905,353.50 × 905,353.50
  4. Step 4: Simplify right side
    633,156.75x = 819,664,959,962.25
  5. Step 5: Solve for x
    x = 819,664,959,962.25/633,156.75
  6. Step 6: Final answer
    x = 1,294,568.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.