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Finding the Third Proportional to 232,478.44 and 492,856.31

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Solution

The third proportional to 232,478.44 and 492,856.31 is: 1,044,859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,478.44 : 492,856.31 = 492,856.31 : x
  2. Step 2: Convert to fraction form
    232,478.44/492,856.31 = 492,856.31/x
  3. Step 3: Cross multiply
    232,478.44x = 492,856.31 × 492,856.31
  4. Step 4: Simplify right side
    232,478.44x = 242,907,344,771.10
  5. Step 5: Solve for x
    x = 242,907,344,771.10/232,478.44
  6. Step 6: Final answer
    x = 1,044,859.68

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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.