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Finding the Third Proportional to 291,188 and 452,334

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Solution

The third proportional to 291,188 and 452,334 is: 702,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,188 : 452,334 = 452,334 : x
  2. Step 2: Convert to fraction form
    291,188/452,334 = 452,334/x
  3. Step 3: Cross multiply
    291,188x = 452,334 × 452,334
  4. Step 4: Simplify right side
    291,188x = 204,606,047,556
  5. Step 5: Solve for x
    x = 204,606,047,556/291,188
  6. Step 6: Final answer
    x = 702,659.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.