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Finding the Third Proportional to 311,007 and 678,297

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Solution

The third proportional to 311,007 and 678,297 is: 1,479,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,007 : 678,297 = 678,297 : x
  2. Step 2: Convert to fraction form
    311,007/678,297 = 678,297/x
  3. Step 3: Cross multiply
    311,007x = 678,297 × 678,297
  4. Step 4: Simplify right side
    311,007x = 460,086,820,209
  5. Step 5: Solve for x
    x = 460,086,820,209/311,007
  6. Step 6: Final answer
    x = 1,479,345.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.