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Finding the Third Proportional to 316,035 and 693,894

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Solution

The third proportional to 316,035 and 693,894 is: 1,523,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,035 : 693,894 = 693,894 : x
  2. Step 2: Convert to fraction form
    316,035/693,894 = 693,894/x
  3. Step 3: Cross multiply
    316,035x = 693,894 × 693,894
  4. Step 4: Simplify right side
    316,035x = 481,488,883,236
  5. Step 5: Solve for x
    x = 481,488,883,236/316,035
  6. Step 6: Final answer
    x = 1,523,530.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.