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Finding the Third Proportional to 335,379 and 498,510

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Solution

The third proportional to 335,379 and 498,510 is: 740,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,379 : 498,510 = 498,510 : x
  2. Step 2: Convert to fraction form
    335,379/498,510 = 498,510/x
  3. Step 3: Cross multiply
    335,379x = 498,510 × 498,510
  4. Step 4: Simplify right side
    335,379x = 248,512,220,100
  5. Step 5: Solve for x
    x = 248,512,220,100/335,379
  6. Step 6: Final answer
    x = 740,989.21

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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.