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Finding the Third Proportional to 291,702 and 623,866

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Solution

The third proportional to 291,702 and 623,866 is: 1,334,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,702 : 623,866 = 623,866 : x
  2. Step 2: Convert to fraction form
    291,702/623,866 = 623,866/x
  3. Step 3: Cross multiply
    291,702x = 623,866 × 623,866
  4. Step 4: Simplify right side
    291,702x = 389,208,785,956
  5. Step 5: Solve for x
    x = 389,208,785,956/291,702
  6. Step 6: Final answer
    x = 1,334,268.49

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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.