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Finding the Third Proportional to 374,625 and 595,845

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Solution

The third proportional to 374,625 and 595,845 is: 947,697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,625 : 595,845 = 595,845 : x
  2. Step 2: Convert to fraction form
    374,625/595,845 = 595,845/x
  3. Step 3: Cross multiply
    374,625x = 595,845 × 595,845
  4. Step 4: Simplify right side
    374,625x = 355,031,264,025
  5. Step 5: Solve for x
    x = 355,031,264,025/374,625
  6. Step 6: Final answer
    x = 947,697.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.