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Finding the Third Proportional to 291,093.75 and 636,315.75

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Solution

The third proportional to 291,093.75 and 636,315.75 is: 1,390,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,093.75 : 636,315.75 = 636,315.75 : x
  2. Step 2: Convert to fraction form
    291,093.75/636,315.75 = 636,315.75/x
  3. Step 3: Cross multiply
    291,093.75x = 636,315.75 × 636,315.75
  4. Step 4: Simplify right side
    291,093.75x = 404,897,733,698.06
  5. Step 5: Solve for x
    x = 404,897,733,698.06/291,093.75
  6. Step 6: Final answer
    x = 1,390,953.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.