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Finding the Third Proportional to 467,977 and 684,415

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Solution

The third proportional to 467,977 and 684,415 is: 1,000,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,977 : 684,415 = 684,415 : x
  2. Step 2: Convert to fraction form
    467,977/684,415 = 684,415/x
  3. Step 3: Cross multiply
    467,977x = 684,415 × 684,415
  4. Step 4: Simplify right side
    467,977x = 468,423,892,225
  5. Step 5: Solve for x
    x = 468,423,892,225/467,977
  6. Step 6: Final answer
    x = 1,000,954.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.