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Finding the Third Proportional to 293,848 and 465,924

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Solution

The third proportional to 293,848 and 465,924 is: 738,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,848 : 465,924 = 465,924 : x
  2. Step 2: Convert to fraction form
    293,848/465,924 = 465,924/x
  3. Step 3: Cross multiply
    293,848x = 465,924 × 465,924
  4. Step 4: Simplify right side
    293,848x = 217,085,173,776
  5. Step 5: Solve for x
    x = 217,085,173,776/293,848
  6. Step 6: Final answer
    x = 738,766.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.