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Finding the Third Proportional to 464,508 and 678,836

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Solution

The third proportional to 464,508 and 678,836 is: 992,056.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,508 : 678,836 = 678,836 : x
  2. Step 2: Convert to fraction form
    464,508/678,836 = 678,836/x
  3. Step 3: Cross multiply
    464,508x = 678,836 × 678,836
  4. Step 4: Simplify right side
    464,508x = 460,818,314,896
  5. Step 5: Solve for x
    x = 460,818,314,896/464,508
  6. Step 6: Final answer
    x = 992,056.79

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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.