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Finding the Third Proportional to 498,642 and 745,965

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Solution

The third proportional to 498,642 and 745,965 is: 1,115,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,642 : 745,965 = 745,965 : x
  2. Step 2: Convert to fraction form
    498,642/745,965 = 745,965/x
  3. Step 3: Cross multiply
    498,642x = 745,965 × 745,965
  4. Step 4: Simplify right side
    498,642x = 556,463,781,225
  5. Step 5: Solve for x
    x = 556,463,781,225/498,642
  6. Step 6: Final answer
    x = 1,115,958.51

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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.