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Finding the Third Proportional to 312,649.88 and 640,041.75

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Solution

The third proportional to 312,649.88 and 640,041.75 is: 1,310,262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,649.88 : 640,041.75 = 640,041.75 : x
  2. Step 2: Convert to fraction form
    312,649.88/640,041.75 = 640,041.75/x
  3. Step 3: Cross multiply
    312,649.88x = 640,041.75 × 640,041.75
  4. Step 4: Simplify right side
    312,649.88x = 409,653,441,743.06
  5. Step 5: Solve for x
    x = 409,653,441,743.06/312,649.88
  6. Step 6: Final answer
    x = 1,310,262.61

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.