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Finding the Third Proportional to 380,315 and 584,625

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Solution

The third proportional to 380,315 and 584,625 is: 898,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,315 : 584,625 = 584,625 : x
  2. Step 2: Convert to fraction form
    380,315/584,625 = 584,625/x
  3. Step 3: Cross multiply
    380,315x = 584,625 × 584,625
  4. Step 4: Simplify right side
    380,315x = 341,786,390,625
  5. Step 5: Solve for x
    x = 341,786,390,625/380,315
  6. Step 6: Final answer
    x = 898,692.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.