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Finding the Third Proportional to 316,956 and 704,781

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Solution

The third proportional to 316,956 and 704,781 is: 1,567,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,956 : 704,781 = 704,781 : x
  2. Step 2: Convert to fraction form
    316,956/704,781 = 704,781/x
  3. Step 3: Cross multiply
    316,956x = 704,781 × 704,781
  4. Step 4: Simplify right side
    316,956x = 496,716,257,961
  5. Step 5: Solve for x
    x = 496,716,257,961/316,956
  6. Step 6: Final answer
    x = 1,567,145.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.