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Finding the Third Proportional to 233,673 and 496,514

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Solution

The third proportional to 233,673 and 496,514 is: 1,055,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,673 : 496,514 = 496,514 : x
  2. Step 2: Convert to fraction form
    233,673/496,514 = 496,514/x
  3. Step 3: Cross multiply
    233,673x = 496,514 × 496,514
  4. Step 4: Simplify right side
    233,673x = 246,526,152,196
  5. Step 5: Solve for x
    x = 246,526,152,196/233,673
  6. Step 6: Final answer
    x = 1,055,004.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.