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Finding the Third Proportional to 294,437 and 635,503

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Solution

The third proportional to 294,437 and 635,503 is: 1,371,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,437 : 635,503 = 635,503 : x
  2. Step 2: Convert to fraction form
    294,437/635,503 = 635,503/x
  3. Step 3: Cross multiply
    294,437x = 635,503 × 635,503
  4. Step 4: Simplify right side
    294,437x = 403,864,063,009
  5. Step 5: Solve for x
    x = 403,864,063,009/294,437
  6. Step 6: Final answer
    x = 1,371,648.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.