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Finding the Third Proportional to 230,634 and 472,749.75

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Solution

The third proportional to 230,634 and 472,749.75 is: 969,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,634 : 472,749.75 = 472,749.75 : x
  2. Step 2: Convert to fraction form
    230,634/472,749.75 = 472,749.75/x
  3. Step 3: Cross multiply
    230,634x = 472,749.75 × 472,749.75
  4. Step 4: Simplify right side
    230,634x = 223,492,326,125.06
  5. Step 5: Solve for x
    x = 223,492,326,125.06/230,634
  6. Step 6: Final answer
    x = 969,034.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.