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Finding the Third Proportional to 289,536 and 597,696

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Solution

The third proportional to 289,536 and 597,696 is: 1,233,837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,536 : 597,696 = 597,696 : x
  2. Step 2: Convert to fraction form
    289,536/597,696 = 597,696/x
  3. Step 3: Cross multiply
    289,536x = 597,696 × 597,696
  4. Step 4: Simplify right side
    289,536x = 357,240,508,416
  5. Step 5: Solve for x
    x = 357,240,508,416/289,536
  6. Step 6: Final answer
    x = 1,233,837.96

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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.