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Finding the Third Proportional to 316,036 and 693,896

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Solution

The third proportional to 316,036 and 693,896 is: 1,523,534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,036 : 693,896 = 693,896 : x
  2. Step 2: Convert to fraction form
    316,036/693,896 = 693,896/x
  3. Step 3: Cross multiply
    316,036x = 693,896 × 693,896
  4. Step 4: Simplify right side
    316,036x = 481,491,658,816
  5. Step 5: Solve for x
    x = 481,491,658,816/316,036
  6. Step 6: Final answer
    x = 1,523,534.21

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Why These Related Problems?

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