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Finding the Third Proportional to 294,046 and 637,879

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Solution

The third proportional to 294,046 and 637,879 is: 1,383,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,046 : 637,879 = 637,879 : x
  2. Step 2: Convert to fraction form
    294,046/637,879 = 637,879/x
  3. Step 3: Cross multiply
    294,046x = 637,879 × 637,879
  4. Step 4: Simplify right side
    294,046x = 406,889,618,641
  5. Step 5: Solve for x
    x = 406,889,618,641/294,046
  6. Step 6: Final answer
    x = 1,383,761.79

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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.