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Finding the Third Proportional to 377,532 and 768,306

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Solution

The third proportional to 377,532 and 768,306 is: 1,563,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,532 : 768,306 = 768,306 : x
  2. Step 2: Convert to fraction form
    377,532/768,306 = 768,306/x
  3. Step 3: Cross multiply
    377,532x = 768,306 × 768,306
  4. Step 4: Simplify right side
    377,532x = 590,294,109,636
  5. Step 5: Solve for x
    x = 590,294,109,636/377,532
  6. Step 6: Final answer
    x = 1,563,560.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.