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Finding the Third Proportional to 233,733 and 496,623

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Solution

The third proportional to 233,733 and 496,623 is: 1,055,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,733 : 496,623 = 496,623 : x
  2. Step 2: Convert to fraction form
    233,733/496,623 = 496,623/x
  3. Step 3: Cross multiply
    233,733x = 496,623 × 496,623
  4. Step 4: Simplify right side
    233,733x = 246,634,404,129
  5. Step 5: Solve for x
    x = 246,634,404,129/233,733
  6. Step 6: Final answer
    x = 1,055,197.19

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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.