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Finding the Third Proportional to 291,967 and 426,468

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Solution

The third proportional to 291,967 and 426,468 is: 622,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,967 : 426,468 = 426,468 : x
  2. Step 2: Convert to fraction form
    291,967/426,468 = 426,468/x
  3. Step 3: Cross multiply
    291,967x = 426,468 × 426,468
  4. Step 4: Simplify right side
    291,967x = 181,874,955,024
  5. Step 5: Solve for x
    x = 181,874,955,024/291,967
  6. Step 6: Final answer
    x = 622,929.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.