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Finding the Third Proportional to 377,967 and 544,594

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Solution

The third proportional to 377,967 and 544,594 is: 784,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,967 : 544,594 = 544,594 : x
  2. Step 2: Convert to fraction form
    377,967/544,594 = 544,594/x
  3. Step 3: Cross multiply
    377,967x = 544,594 × 544,594
  4. Step 4: Simplify right side
    377,967x = 296,582,624,836
  5. Step 5: Solve for x
    x = 296,582,624,836/377,967
  6. Step 6: Final answer
    x = 784,678.62

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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.