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Finding the Third Proportional to 373,993 and 770,040

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Solution

The third proportional to 373,993 and 770,040 is: 1,585,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,993 : 770,040 = 770,040 : x
  2. Step 2: Convert to fraction form
    373,993/770,040 = 770,040/x
  3. Step 3: Cross multiply
    373,993x = 770,040 × 770,040
  4. Step 4: Simplify right side
    373,993x = 592,961,601,600
  5. Step 5: Solve for x
    x = 592,961,601,600/373,993
  6. Step 6: Final answer
    x = 1,585,488.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.