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Finding the Third Proportional to 285,900 and 611,146

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Solution

The third proportional to 285,900 and 611,146 is: 1,306,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,900 : 611,146 = 611,146 : x
  2. Step 2: Convert to fraction form
    285,900/611,146 = 611,146/x
  3. Step 3: Cross multiply
    285,900x = 611,146 × 611,146
  4. Step 4: Simplify right side
    285,900x = 373,499,433,316
  5. Step 5: Solve for x
    x = 373,499,433,316/285,900
  6. Step 6: Final answer
    x = 1,306,398.86

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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.