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Finding the Third Proportional to 229,054 and 493,226

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Solution

The third proportional to 229,054 and 493,226 is: 1,062,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,054 : 493,226 = 493,226 : x
  2. Step 2: Convert to fraction form
    229,054/493,226 = 493,226/x
  3. Step 3: Cross multiply
    229,054x = 493,226 × 493,226
  4. Step 4: Simplify right side
    229,054x = 243,271,887,076
  5. Step 5: Solve for x
    x = 243,271,887,076/229,054
  6. Step 6: Final answer
    x = 1,062,072.21

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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.