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Finding the Third Proportional to 232,481.81 and 492,862.50

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Solution

The third proportional to 232,481.81 and 492,862.50 is: 1,044,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,481.81 : 492,862.50 = 492,862.50 : x
  2. Step 2: Convert to fraction form
    232,481.81/492,862.50 = 492,862.50/x
  3. Step 3: Cross multiply
    232,481.81x = 492,862.50 × 492,862.50
  4. Step 4: Simplify right side
    232,481.81x = 242,913,443,906.25
  5. Step 5: Solve for x
    x = 242,913,443,906.25/232,481.81
  6. Step 6: Final answer
    x = 1,044,870.74

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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.