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Finding the Third Proportional to 367,072 and 534,632

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Solution

The third proportional to 367,072 and 534,632 is: 778,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,072 : 534,632 = 534,632 : x
  2. Step 2: Convert to fraction form
    367,072/534,632 = 534,632/x
  3. Step 3: Cross multiply
    367,072x = 534,632 × 534,632
  4. Step 4: Simplify right side
    367,072x = 285,831,375,424
  5. Step 5: Solve for x
    x = 285,831,375,424/367,072
  6. Step 6: Final answer
    x = 778,679.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.