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Finding the Third Proportional to 294,330.38 and 635,698.13

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Solution

The third proportional to 294,330.38 and 635,698.13 is: 1,372,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,330.38 : 635,698.13 = 635,698.13 : x
  2. Step 2: Convert to fraction form
    294,330.38/635,698.13 = 635,698.13/x
  3. Step 3: Cross multiply
    294,330.38x = 635,698.13 × 635,698.13
  4. Step 4: Simplify right side
    294,330.38x = 404,112,106,128.52
  5. Step 5: Solve for x
    x = 404,112,106,128.52/294,330.38
  6. Step 6: Final answer
    x = 1,372,988.11

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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.