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Finding the Third Proportional to 230,937 and 496,254

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Solution

The third proportional to 230,937 and 496,254 is: 1,066,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,937 : 496,254 = 496,254 : x
  2. Step 2: Convert to fraction form
    230,937/496,254 = 496,254/x
  3. Step 3: Cross multiply
    230,937x = 496,254 × 496,254
  4. Step 4: Simplify right side
    230,937x = 246,268,032,516
  5. Step 5: Solve for x
    x = 246,268,032,516/230,937
  6. Step 6: Final answer
    x = 1,066,386.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.