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Finding the Third Proportional to 230,257.69 and 497,967.75

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Solution

The third proportional to 230,257.69 and 497,967.75 is: 1,076,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,257.69 : 497,967.75 = 497,967.75 : x
  2. Step 2: Convert to fraction form
    230,257.69/497,967.75 = 497,967.75/x
  3. Step 3: Cross multiply
    230,257.69x = 497,967.75 × 497,967.75
  4. Step 4: Simplify right side
    230,257.69x = 247,971,880,040.06
  5. Step 5: Solve for x
    x = 247,971,880,040.06/230,257.69
  6. Step 6: Final answer
    x = 1,076,932.04

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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.