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Finding the Third Proportional to 229,114 and 492,092

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Solution

The third proportional to 229,114 and 492,092 is: 1,056,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,114 : 492,092 = 492,092 : x
  2. Step 2: Convert to fraction form
    229,114/492,092 = 492,092/x
  3. Step 3: Cross multiply
    229,114x = 492,092 × 492,092
  4. Step 4: Simplify right side
    229,114x = 242,154,536,464
  5. Step 5: Solve for x
    x = 242,154,536,464/229,114
  6. Step 6: Final answer
    x = 1,056,917.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.