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Finding the Third Proportional to 402,334.50 and 603,510.75

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Solution

The third proportional to 402,334.50 and 603,510.75 is: 905,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,334.50 : 603,510.75 = 603,510.75 : x
  2. Step 2: Convert to fraction form
    402,334.50/603,510.75 = 603,510.75/x
  3. Step 3: Cross multiply
    402,334.50x = 603,510.75 × 603,510.75
  4. Step 4: Simplify right side
    402,334.50x = 364,225,225,365.56
  5. Step 5: Solve for x
    x = 364,225,225,365.56/402,334.50
  6. Step 6: Final answer
    x = 905,279.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.