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Finding the Third Proportional to 291,808.83 and 627,209.58

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Solution

The third proportional to 291,808.83 and 627,209.58 is: 1,348,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,808.83 : 627,209.58 = 627,209.58 : x
  2. Step 2: Convert to fraction form
    291,808.83/627,209.58 = 627,209.58/x
  3. Step 3: Cross multiply
    291,808.83x = 627,209.58 × 627,209.58
  4. Step 4: Simplify right side
    291,808.83x = 393,391,854,891.74
  5. Step 5: Solve for x
    x = 393,391,854,891.74/291,808.83
  6. Step 6: Final answer
    x = 1,348,114.99

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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.