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Finding the Third Proportional to 335,442 and 498,590

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Solution

The third proportional to 335,442 and 498,590 is: 741,087.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,442 : 498,590 = 498,590 : x
  2. Step 2: Convert to fraction form
    335,442/498,590 = 498,590/x
  3. Step 3: Cross multiply
    335,442x = 498,590 × 498,590
  4. Step 4: Simplify right side
    335,442x = 248,591,988,100
  5. Step 5: Solve for x
    x = 248,591,988,100/335,442
  6. Step 6: Final answer
    x = 741,087.84

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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.