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Finding the Third Proportional to 232,287 and 492,485

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Solution

The third proportional to 232,287 and 492,485 is: 1,044,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,287 : 492,485 = 492,485 : x
  2. Step 2: Convert to fraction form
    232,287/492,485 = 492,485/x
  3. Step 3: Cross multiply
    232,287x = 492,485 × 492,485
  4. Step 4: Simplify right side
    232,287x = 242,541,475,225
  5. Step 5: Solve for x
    x = 242,541,475,225/232,287
  6. Step 6: Final answer
    x = 1,044,145.71

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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.