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Finding the Third Proportional to 294,043 and 637,873

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Solution

The third proportional to 294,043 and 637,873 is: 1,383,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,043 : 637,873 = 637,873 : x
  2. Step 2: Convert to fraction form
    294,043/637,873 = 637,873/x
  3. Step 3: Cross multiply
    294,043x = 637,873 × 637,873
  4. Step 4: Simplify right side
    294,043x = 406,881,964,129
  5. Step 5: Solve for x
    x = 406,881,964,129/294,043
  6. Step 6: Final answer
    x = 1,383,749.87

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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.