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Finding the Third Proportional to 373,911 and 580,074

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Solution

The third proportional to 373,911 and 580,074 is: 899,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,911 : 580,074 = 580,074 : x
  2. Step 2: Convert to fraction form
    373,911/580,074 = 580,074/x
  3. Step 3: Cross multiply
    373,911x = 580,074 × 580,074
  4. Step 4: Simplify right side
    373,911x = 336,485,845,476
  5. Step 5: Solve for x
    x = 336,485,845,476/373,911
  6. Step 6: Final answer
    x = 899,908.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.