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Finding the Third Proportional to 291,802 and 437,701

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Solution

The third proportional to 291,802 and 437,701 is: 656,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,802 : 437,701 = 437,701 : x
  2. Step 2: Convert to fraction form
    291,802/437,701 = 437,701/x
  3. Step 3: Cross multiply
    291,802x = 437,701 × 437,701
  4. Step 4: Simplify right side
    291,802x = 191,582,165,401
  5. Step 5: Solve for x
    x = 191,582,165,401/291,802
  6. Step 6: Final answer
    x = 656,548.50

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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.