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Finding the Third Proportional to 291,782 and 417,243

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Solution

The third proportional to 291,782 and 417,243 is: 596,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,782 : 417,243 = 417,243 : x
  2. Step 2: Convert to fraction form
    291,782/417,243 = 417,243/x
  3. Step 3: Cross multiply
    291,782x = 417,243 × 417,243
  4. Step 4: Simplify right side
    291,782x = 174,091,721,049
  5. Step 5: Solve for x
    x = 174,091,721,049/291,782
  6. Step 6: Final answer
    x = 596,649.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.