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Finding the Third Proportional to 289,202 and 596,850

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Solution

The third proportional to 289,202 and 596,850 is: 1,231,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,202 : 596,850 = 596,850 : x
  2. Step 2: Convert to fraction form
    289,202/596,850 = 596,850/x
  3. Step 3: Cross multiply
    289,202x = 596,850 × 596,850
  4. Step 4: Simplify right side
    289,202x = 356,229,922,500
  5. Step 5: Solve for x
    x = 356,229,922,500/289,202
  6. Step 6: Final answer
    x = 1,231,768.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.