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Finding the Third Proportional to 373,378 and 587,282

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Solution

The third proportional to 373,378 and 587,282 is: 923,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,378 : 587,282 = 587,282 : x
  2. Step 2: Convert to fraction form
    373,378/587,282 = 587,282/x
  3. Step 3: Cross multiply
    373,378x = 587,282 × 587,282
  4. Step 4: Simplify right side
    373,378x = 344,900,147,524
  5. Step 5: Solve for x
    x = 344,900,147,524/373,378
  6. Step 6: Final answer
    x = 923,729.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.