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Finding the Third Proportional to 313,341.75 and 477,356.63

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Solution

The third proportional to 313,341.75 and 477,356.63 is: 727,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,341.75 : 477,356.63 = 477,356.63 : x
  2. Step 2: Convert to fraction form
    313,341.75/477,356.63 = 477,356.63/x
  3. Step 3: Cross multiply
    313,341.75x = 477,356.63 × 477,356.63
  4. Step 4: Simplify right side
    313,341.75x = 227,869,347,431.39
  5. Step 5: Solve for x
    x = 227,869,347,431.39/313,341.75
  6. Step 6: Final answer
    x = 727,223.06

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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.