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Finding the Third Proportional to 335,608 and 498,868

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Solution

The third proportional to 335,608 and 498,868 is: 741,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,608 : 498,868 = 498,868 : x
  2. Step 2: Convert to fraction form
    335,608/498,868 = 498,868/x
  3. Step 3: Cross multiply
    335,608x = 498,868 × 498,868
  4. Step 4: Simplify right side
    335,608x = 248,869,281,424
  5. Step 5: Solve for x
    x = 248,869,281,424/335,608
  6. Step 6: Final answer
    x = 741,547.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.