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Finding the Third Proportional to 294,761.25 and 636,585.75

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Solution

The third proportional to 294,761.25 and 636,585.75 is: 1,374,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,761.25 : 636,585.75 = 636,585.75 : x
  2. Step 2: Convert to fraction form
    294,761.25/636,585.75 = 636,585.75/x
  3. Step 3: Cross multiply
    294,761.25x = 636,585.75 × 636,585.75
  4. Step 4: Simplify right side
    294,761.25x = 405,241,417,103.06
  5. Step 5: Solve for x
    x = 405,241,417,103.06/294,761.25
  6. Step 6: Final answer
    x = 1,374,812.38

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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.