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Finding the Third Proportional to 292,365 and 629,847

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Solution

The third proportional to 292,365 and 629,847 is: 1,356,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,365 : 629,847 = 629,847 : x
  2. Step 2: Convert to fraction form
    292,365/629,847 = 629,847/x
  3. Step 3: Cross multiply
    292,365x = 629,847 × 629,847
  4. Step 4: Simplify right side
    292,365x = 396,707,243,409
  5. Step 5: Solve for x
    x = 396,707,243,409/292,365
  6. Step 6: Final answer
    x = 1,356,890.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.