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Finding the Third Proportional to 207,837 and 322,457

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Solution

The third proportional to 207,837 and 322,457 is: 500,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,837 : 322,457 = 322,457 : x
  2. Step 2: Convert to fraction form
    207,837/322,457 = 322,457/x
  3. Step 3: Cross multiply
    207,837x = 322,457 × 322,457
  4. Step 4: Simplify right side
    207,837x = 103,978,516,849
  5. Step 5: Solve for x
    x = 103,978,516,849/207,837
  6. Step 6: Final answer
    x = 500,288.77

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Why These Related Problems?

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