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Finding the Third Proportional to 289,146 and 451,206

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Solution

The third proportional to 289,146 and 451,206 is: 704,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,146 : 451,206 = 451,206 : x
  2. Step 2: Convert to fraction form
    289,146/451,206 = 451,206/x
  3. Step 3: Cross multiply
    289,146x = 451,206 × 451,206
  4. Step 4: Simplify right side
    289,146x = 203,586,854,436
  5. Step 5: Solve for x
    x = 203,586,854,436/289,146
  6. Step 6: Final answer
    x = 704,097.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.