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Finding the Third Proportional to 229,080 and 493,115

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Solution

The third proportional to 229,080 and 493,115 is: 1,061,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,080 : 493,115 = 493,115 : x
  2. Step 2: Convert to fraction form
    229,080/493,115 = 493,115/x
  3. Step 3: Cross multiply
    229,080x = 493,115 × 493,115
  4. Step 4: Simplify right side
    229,080x = 243,162,403,225
  5. Step 5: Solve for x
    x = 243,162,403,225/229,080
  6. Step 6: Final answer
    x = 1,061,473.74

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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.