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Finding the Third Proportional to 294,675 and 636,438

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Solution

The third proportional to 294,675 and 636,438 is: 1,374,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,675 : 636,438 = 636,438 : x
  2. Step 2: Convert to fraction form
    294,675/636,438 = 636,438/x
  3. Step 3: Cross multiply
    294,675x = 636,438 × 636,438
  4. Step 4: Simplify right side
    294,675x = 405,053,327,844
  5. Step 5: Solve for x
    x = 405,053,327,844/294,675
  6. Step 6: Final answer
    x = 1,374,576.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.