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Finding the Third Proportional to 294,061.69 and 637,902.38

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Solution

The third proportional to 294,061.69 and 637,902.38 is: 1,383,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,061.69 : 637,902.38 = 637,902.38 : x
  2. Step 2: Convert to fraction form
    294,061.69/637,902.38 = 637,902.38/x
  3. Step 3: Cross multiply
    294,061.69x = 637,902.38 × 637,902.38
  4. Step 4: Simplify right side
    294,061.69x = 406,919,440,030.64
  5. Step 5: Solve for x
    x = 406,919,440,030.64/294,061.69
  6. Step 6: Final answer
    x = 1,383,789.38

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