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Finding the Third Proportional to 230,764.50 and 498,435.75

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Solution

The third proportional to 230,764.50 and 498,435.75 is: 1,076,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,764.50 : 498,435.75 = 498,435.75 : x
  2. Step 2: Convert to fraction form
    230,764.50/498,435.75 = 498,435.75/x
  3. Step 3: Cross multiply
    230,764.50x = 498,435.75 × 498,435.75
  4. Step 4: Simplify right side
    230,764.50x = 248,438,196,878.06
  5. Step 5: Solve for x
    x = 248,438,196,878.06/230,764.50
  6. Step 6: Final answer
    x = 1,076,587.59

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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.