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Finding the Third Proportional to 291,635 and 417,039

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Solution

The third proportional to 291,635 and 417,039 is: 596,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,635 : 417,039 = 417,039 : x
  2. Step 2: Convert to fraction form
    291,635/417,039 = 417,039/x
  3. Step 3: Cross multiply
    291,635x = 417,039 × 417,039
  4. Step 4: Simplify right side
    291,635x = 173,921,527,521
  5. Step 5: Solve for x
    x = 173,921,527,521/291,635
  6. Step 6: Final answer
    x = 596,367.13

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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.