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Finding the Third Proportional to 290,802 and 437,659

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Solution

The third proportional to 290,802 and 437,659 is: 658,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,802 : 437,659 = 437,659 : x
  2. Step 2: Convert to fraction form
    290,802/437,659 = 437,659/x
  3. Step 3: Cross multiply
    290,802x = 437,659 × 437,659
  4. Step 4: Simplify right side
    290,802x = 191,545,400,281
  5. Step 5: Solve for x
    x = 191,545,400,281/290,802
  6. Step 6: Final answer
    x = 658,679.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.