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Finding the Third Proportional to 311,918 and 656,431

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Solution

The third proportional to 311,918 and 656,431 is: 1,381,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,918 : 656,431 = 656,431 : x
  2. Step 2: Convert to fraction form
    311,918/656,431 = 656,431/x
  3. Step 3: Cross multiply
    311,918x = 656,431 × 656,431
  4. Step 4: Simplify right side
    311,918x = 430,901,657,761
  5. Step 5: Solve for x
    x = 430,901,657,761/311,918
  6. Step 6: Final answer
    x = 1,381,458.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.