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Finding the Third Proportional to 291,687 and 437,805

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Solution

The third proportional to 291,687 and 437,805 is: 657,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,687 : 437,805 = 437,805 : x
  2. Step 2: Convert to fraction form
    291,687/437,805 = 437,805/x
  3. Step 3: Cross multiply
    291,687x = 437,805 × 437,805
  4. Step 4: Simplify right side
    291,687x = 191,673,218,025
  5. Step 5: Solve for x
    x = 191,673,218,025/291,687
  6. Step 6: Final answer
    x = 657,119.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.