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Finding the Third Proportional to 294,046.50 and 637,881

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Solution

The third proportional to 294,046.50 and 637,881 is: 1,383,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,046.50 : 637,881 = 637,881 : x
  2. Step 2: Convert to fraction form
    294,046.50/637,881 = 637,881/x
  3. Step 3: Cross multiply
    294,046.50x = 637,881 × 637,881
  4. Step 4: Simplify right side
    294,046.50x = 406,892,170,161
  5. Step 5: Solve for x
    x = 406,892,170,161/294,046.50
  6. Step 6: Final answer
    x = 1,383,768.11

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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.