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Finding the Third Proportional to 230,272.88 and 497,998.13

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Solution

The third proportional to 230,272.88 and 497,998.13 is: 1,076,992.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,272.88 : 497,998.13 = 497,998.13 : x
  2. Step 2: Convert to fraction form
    230,272.88/497,998.13 = 497,998.13/x
  3. Step 3: Cross multiply
    230,272.88x = 497,998.13 × 497,998.13
  4. Step 4: Simplify right side
    230,272.88x = 248,002,132,503.52
  5. Step 5: Solve for x
    x = 248,002,132,503.52/230,272.88
  6. Step 6: Final answer
    x = 1,076,992.38

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