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Finding the Third Proportional to 374,890 and 580,652

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Solution

The third proportional to 374,890 and 580,652 is: 899,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,890 : 580,652 = 580,652 : x
  2. Step 2: Convert to fraction form
    374,890/580,652 = 580,652/x
  3. Step 3: Cross multiply
    374,890x = 580,652 × 580,652
  4. Step 4: Simplify right side
    374,890x = 337,156,745,104
  5. Step 5: Solve for x
    x = 337,156,745,104/374,890
  6. Step 6: Final answer
    x = 899,348.46

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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.