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Finding the Third Proportional to 291,196 and 438,846

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Solution

The third proportional to 291,196 and 438,846 is: 661,361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,196 : 438,846 = 438,846 : x
  2. Step 2: Convert to fraction form
    291,196/438,846 = 438,846/x
  3. Step 3: Cross multiply
    291,196x = 438,846 × 438,846
  4. Step 4: Simplify right side
    291,196x = 192,585,811,716
  5. Step 5: Solve for x
    x = 192,585,811,716/291,196
  6. Step 6: Final answer
    x = 661,361.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.