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Finding the Third Proportional to 294,063.38 and 637,905.38

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Solution

The third proportional to 294,063.38 and 637,905.38 is: 1,383,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,063.38 : 637,905.38 = 637,905.38 : x
  2. Step 2: Convert to fraction form
    294,063.38/637,905.38 = 637,905.38/x
  3. Step 3: Cross multiply
    294,063.38x = 637,905.38 × 637,905.38
  4. Step 4: Simplify right side
    294,063.38x = 406,923,267,453.89
  5. Step 5: Solve for x
    x = 406,923,267,453.89/294,063.38
  6. Step 6: Final answer
    x = 1,383,794.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.