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Finding the Third Proportional to 311,694 and 455,877

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Solution

The third proportional to 311,694 and 455,877 is: 666,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,694 : 455,877 = 455,877 : x
  2. Step 2: Convert to fraction form
    311,694/455,877 = 455,877/x
  3. Step 3: Cross multiply
    311,694x = 455,877 × 455,877
  4. Step 4: Simplify right side
    311,694x = 207,823,839,129
  5. Step 5: Solve for x
    x = 207,823,839,129/311,694
  6. Step 6: Final answer
    x = 666,755.98

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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.