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Finding the Third Proportional to 294,317.25 and 635,677.50

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Solution

The third proportional to 294,317.25 and 635,677.50 is: 1,372,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,317.25 : 635,677.50 = 635,677.50 : x
  2. Step 2: Convert to fraction form
    294,317.25/635,677.50 = 635,677.50/x
  3. Step 3: Cross multiply
    294,317.25x = 635,677.50 × 635,677.50
  4. Step 4: Simplify right side
    294,317.25x = 404,085,884,006.25
  5. Step 5: Solve for x
    x = 404,085,884,006.25/294,317.25
  6. Step 6: Final answer
    x = 1,372,960.25

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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.