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Finding the Third Proportional to 289,237 and 592,567

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Solution

The third proportional to 289,237 and 592,567 is: 1,214,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,237 : 592,567 = 592,567 : x
  2. Step 2: Convert to fraction form
    289,237/592,567 = 592,567/x
  3. Step 3: Cross multiply
    289,237x = 592,567 × 592,567
  4. Step 4: Simplify right side
    289,237x = 351,135,649,489
  5. Step 5: Solve for x
    x = 351,135,649,489/289,237
  6. Step 6: Final answer
    x = 1,214,006.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.