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Finding the Third Proportional to 374,832 and 576,586

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Solution

The third proportional to 374,832 and 576,586 is: 886,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,832 : 576,586 = 576,586 : x
  2. Step 2: Convert to fraction form
    374,832/576,586 = 576,586/x
  3. Step 3: Cross multiply
    374,832x = 576,586 × 576,586
  4. Step 4: Simplify right side
    374,832x = 332,451,415,396
  5. Step 5: Solve for x
    x = 332,451,415,396/374,832
  6. Step 6: Final answer
    x = 886,934.45

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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.