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Finding the Third Proportional to 313,681.75 and 672,899.75

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Solution

The third proportional to 313,681.75 and 672,899.75 is: 1,443,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,681.75 : 672,899.75 = 672,899.75 : x
  2. Step 2: Convert to fraction form
    313,681.75/672,899.75 = 672,899.75/x
  3. Step 3: Cross multiply
    313,681.75x = 672,899.75 × 672,899.75
  4. Step 4: Simplify right side
    313,681.75x = 452,794,073,550.06
  5. Step 5: Solve for x
    x = 452,794,073,550.06/313,681.75
  6. Step 6: Final answer
    x = 1,443,482.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.