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Finding the Third Proportional to 291,686 and 623,831

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Solution

The third proportional to 291,686 and 623,831 is: 1,334,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,686 : 623,831 = 623,831 : x
  2. Step 2: Convert to fraction form
    291,686/623,831 = 623,831/x
  3. Step 3: Cross multiply
    291,686x = 623,831 × 623,831
  4. Step 4: Simplify right side
    291,686x = 389,165,116,561
  5. Step 5: Solve for x
    x = 389,165,116,561/291,686
  6. Step 6: Final answer
    x = 1,334,191.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.