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Finding the Third Proportional to 335,368 and 498,494

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Solution

The third proportional to 335,368 and 498,494 is: 740,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,368 : 498,494 = 498,494 : x
  2. Step 2: Convert to fraction form
    335,368/498,494 = 498,494/x
  3. Step 3: Cross multiply
    335,368x = 498,494 × 498,494
  4. Step 4: Simplify right side
    335,368x = 248,496,268,036
  5. Step 5: Solve for x
    x = 248,496,268,036/335,368
  6. Step 6: Final answer
    x = 740,965.95

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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.