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Finding the Third Proportional to 367,226 and 778,564

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Solution

The third proportional to 367,226 and 778,564 is: 1,650,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,226 : 778,564 = 778,564 : x
  2. Step 2: Convert to fraction form
    367,226/778,564 = 778,564/x
  3. Step 3: Cross multiply
    367,226x = 778,564 × 778,564
  4. Step 4: Simplify right side
    367,226x = 606,161,902,096
  5. Step 5: Solve for x
    x = 606,161,902,096/367,226
  6. Step 6: Final answer
    x = 1,650,650.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.