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Finding the Third Proportional to 230,229 and 496,746

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Solution

The third proportional to 230,229 and 496,746 is: 1,071,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,229 : 496,746 = 496,746 : x
  2. Step 2: Convert to fraction form
    230,229/496,746 = 496,746/x
  3. Step 3: Cross multiply
    230,229x = 496,746 × 496,746
  4. Step 4: Simplify right side
    230,229x = 246,756,588,516
  5. Step 5: Solve for x
    x = 246,756,588,516/230,229
  6. Step 6: Final answer
    x = 1,071,787.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.