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Finding the Third Proportional to 290,958 and 437,517

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Solution

The third proportional to 290,958 and 437,517 is: 657,899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,958 : 437,517 = 437,517 : x
  2. Step 2: Convert to fraction form
    290,958/437,517 = 437,517/x
  3. Step 3: Cross multiply
    290,958x = 437,517 × 437,517
  4. Step 4: Simplify right side
    290,958x = 191,421,125,289
  5. Step 5: Solve for x
    x = 191,421,125,289/290,958
  6. Step 6: Final answer
    x = 657,899.51

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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.