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Finding the Third Proportional to 229,541 and 492,285

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Solution

The third proportional to 229,541 and 492,285 is: 1,055,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,541 : 492,285 = 492,285 : x
  2. Step 2: Convert to fraction form
    229,541/492,285 = 492,285/x
  3. Step 3: Cross multiply
    229,541x = 492,285 × 492,285
  4. Step 4: Simplify right side
    229,541x = 242,344,521,225
  5. Step 5: Solve for x
    x = 242,344,521,225/229,541
  6. Step 6: Final answer
    x = 1,055,778.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.