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Finding the Third Proportional to 292,686 and 638,414

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Solution

The third proportional to 292,686 and 638,414 is: 1,392,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,686 : 638,414 = 638,414 : x
  2. Step 2: Convert to fraction form
    292,686/638,414 = 638,414/x
  3. Step 3: Cross multiply
    292,686x = 638,414 × 638,414
  4. Step 4: Simplify right side
    292,686x = 407,572,435,396
  5. Step 5: Solve for x
    x = 407,572,435,396/292,686
  6. Step 6: Final answer
    x = 1,392,524.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.