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Finding the Third Proportional to 338,484 and 791,058

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Solution

The third proportional to 338,484 and 791,058 is: 1,848,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,484 : 791,058 = 791,058 : x
  2. Step 2: Convert to fraction form
    338,484/791,058 = 791,058/x
  3. Step 3: Cross multiply
    338,484x = 791,058 × 791,058
  4. Step 4: Simplify right side
    338,484x = 625,772,759,364
  5. Step 5: Solve for x
    x = 625,772,759,364/338,484
  6. Step 6: Final answer
    x = 1,848,751.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.