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Finding the Third Proportional to 311,080 and 642,896

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Solution

The third proportional to 311,080 and 642,896 is: 1,328,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,080 : 642,896 = 642,896 : x
  2. Step 2: Convert to fraction form
    311,080/642,896 = 642,896/x
  3. Step 3: Cross multiply
    311,080x = 642,896 × 642,896
  4. Step 4: Simplify right side
    311,080x = 413,315,266,816
  5. Step 5: Solve for x
    x = 413,315,266,816/311,080
  6. Step 6: Final answer
    x = 1,328,646.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.