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Finding the Third Proportional to 291,226 and 596,564

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Solution

The third proportional to 291,226 and 596,564 is: 1,222,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,226 : 596,564 = 596,564 : x
  2. Step 2: Convert to fraction form
    291,226/596,564 = 596,564/x
  3. Step 3: Cross multiply
    291,226x = 596,564 × 596,564
  4. Step 4: Simplify right side
    291,226x = 355,888,606,096
  5. Step 5: Solve for x
    x = 355,888,606,096/291,226
  6. Step 6: Final answer
    x = 1,222,035.83

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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.