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Finding the Third Proportional to 319,713 and 477,375.75

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Solution

The third proportional to 319,713 and 477,375.75 is: 712,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,713 : 477,375.75 = 477,375.75 : x
  2. Step 2: Convert to fraction form
    319,713/477,375.75 = 477,375.75/x
  3. Step 3: Cross multiply
    319,713x = 477,375.75 × 477,375.75
  4. Step 4: Simplify right side
    319,713x = 227,887,606,688.06
  5. Step 5: Solve for x
    x = 227,887,606,688.06/319,713
  6. Step 6: Final answer
    x = 712,788.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.