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Finding the Third Proportional to 225,029 and 492,092

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Solution

The third proportional to 225,029 and 492,092 is: 1,076,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,029 : 492,092 = 492,092 : x
  2. Step 2: Convert to fraction form
    225,029/492,092 = 492,092/x
  3. Step 3: Cross multiply
    225,029x = 492,092 × 492,092
  4. Step 4: Simplify right side
    225,029x = 242,154,536,464
  5. Step 5: Solve for x
    x = 242,154,536,464/225,029
  6. Step 6: Final answer
    x = 1,076,103.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.