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Finding the Third Proportional to 291,444 and 596,982

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Solution

The third proportional to 291,444 and 596,982 is: 1,222,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,444 : 596,982 = 596,982 : x
  2. Step 2: Convert to fraction form
    291,444/596,982 = 596,982/x
  3. Step 3: Cross multiply
    291,444x = 596,982 × 596,982
  4. Step 4: Simplify right side
    291,444x = 356,387,508,324
  5. Step 5: Solve for x
    x = 356,387,508,324/291,444
  6. Step 6: Final answer
    x = 1,222,833.57

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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.