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Finding the Third Proportional to 291,886 and 633,592

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Solution

The third proportional to 291,886 and 633,592 is: 1,375,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,886 : 633,592 = 633,592 : x
  2. Step 2: Convert to fraction form
    291,886/633,592 = 633,592/x
  3. Step 3: Cross multiply
    291,886x = 633,592 × 633,592
  4. Step 4: Simplify right side
    291,886x = 401,438,822,464
  5. Step 5: Solve for x
    x = 401,438,822,464/291,886
  6. Step 6: Final answer
    x = 1,375,327.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.