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Finding the Third Proportional to 338,496 and 791,088

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Solution

The third proportional to 338,496 and 791,088 is: 1,848,826.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,496 : 791,088 = 791,088 : x
  2. Step 2: Convert to fraction form
    338,496/791,088 = 791,088/x
  3. Step 3: Cross multiply
    338,496x = 791,088 × 791,088
  4. Step 4: Simplify right side
    338,496x = 625,820,223,744
  5. Step 5: Solve for x
    x = 625,820,223,744/338,496
  6. Step 6: Final answer
    x = 1,848,826.05

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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.