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Finding the Third Proportional to 294,048 and 637,884

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Solution

The third proportional to 294,048 and 637,884 is: 1,383,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,048 : 637,884 = 637,884 : x
  2. Step 2: Convert to fraction form
    294,048/637,884 = 637,884/x
  3. Step 3: Cross multiply
    294,048x = 637,884 × 637,884
  4. Step 4: Simplify right side
    294,048x = 406,895,997,456
  5. Step 5: Solve for x
    x = 406,895,997,456/294,048
  6. Step 6: Final answer
    x = 1,383,774.07

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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.