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Finding the Third Proportional to 293,643 and 446,619

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Solution

The third proportional to 293,643 and 446,619 is: 679,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,643 : 446,619 = 446,619 : x
  2. Step 2: Convert to fraction form
    293,643/446,619 = 446,619/x
  3. Step 3: Cross multiply
    293,643x = 446,619 × 446,619
  4. Step 4: Simplify right side
    293,643x = 199,468,531,161
  5. Step 5: Solve for x
    x = 199,468,531,161/293,643
  6. Step 6: Final answer
    x = 679,289.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.