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Finding the Third Proportional to 313,321.50 and 456,581.25

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Solution

The third proportional to 313,321.50 and 456,581.25 is: 665,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,321.50 : 456,581.25 = 456,581.25 : x
  2. Step 2: Convert to fraction form
    313,321.50/456,581.25 = 456,581.25/x
  3. Step 3: Cross multiply
    313,321.50x = 456,581.25 × 456,581.25
  4. Step 4: Simplify right side
    313,321.50x = 208,466,437,851.56
  5. Step 5: Solve for x
    x = 208,466,437,851.56/313,321.50
  6. Step 6: Final answer
    x = 665,343.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.