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Finding the Third Proportional to 335,404 and 498,543

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Solution

The third proportional to 335,404 and 498,543 is: 741,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,404 : 498,543 = 498,543 : x
  2. Step 2: Convert to fraction form
    335,404/498,543 = 498,543/x
  3. Step 3: Cross multiply
    335,404x = 498,543 × 498,543
  4. Step 4: Simplify right side
    335,404x = 248,545,122,849
  5. Step 5: Solve for x
    x = 248,545,122,849/335,404
  6. Step 6: Final answer
    x = 741,032.08

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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.