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Finding the Third Proportional to 376,752 and 543,654

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Solution

The third proportional to 376,752 and 543,654 is: 784,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,752 : 543,654 = 543,654 : x
  2. Step 2: Convert to fraction form
    376,752/543,654 = 543,654/x
  3. Step 3: Cross multiply
    376,752x = 543,654 × 543,654
  4. Step 4: Simplify right side
    376,752x = 295,559,671,716
  5. Step 5: Solve for x
    x = 295,559,671,716/376,752
  6. Step 6: Final answer
    x = 784,493.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.