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Finding the Third Proportional to 294,417 and 638,622

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Solution

The third proportional to 294,417 and 638,622 is: 1,385,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,417 : 638,622 = 638,622 : x
  2. Step 2: Convert to fraction form
    294,417/638,622 = 638,622/x
  3. Step 3: Cross multiply
    294,417x = 638,622 × 638,622
  4. Step 4: Simplify right side
    294,417x = 407,838,058,884
  5. Step 5: Solve for x
    x = 407,838,058,884/294,417
  6. Step 6: Final answer
    x = 1,385,239.50

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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.