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Finding the Third Proportional to 367,088 and 792,928

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Solution

The third proportional to 367,088 and 792,928 is: 1,712,763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,088 : 792,928 = 792,928 : x
  2. Step 2: Convert to fraction form
    367,088/792,928 = 792,928/x
  3. Step 3: Cross multiply
    367,088x = 792,928 × 792,928
  4. Step 4: Simplify right side
    367,088x = 628,734,813,184
  5. Step 5: Solve for x
    x = 628,734,813,184/367,088
  6. Step 6: Final answer
    x = 1,712,763.19

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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.