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Finding the Third Proportional to 373,734 and 580,257

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Solution

The third proportional to 373,734 and 580,257 is: 900,903.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,734 : 580,257 = 580,257 : x
  2. Step 2: Convert to fraction form
    373,734/580,257 = 580,257/x
  3. Step 3: Cross multiply
    373,734x = 580,257 × 580,257
  4. Step 4: Simplify right side
    373,734x = 336,698,186,049
  5. Step 5: Solve for x
    x = 336,698,186,049/373,734
  6. Step 6: Final answer
    x = 900,903.28

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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.