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Finding the Third Proportional to 316,950 and 696,107

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Solution

The third proportional to 316,950 and 696,107 is: 1,528,837.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,950 : 696,107 = 696,107 : x
  2. Step 2: Convert to fraction form
    316,950/696,107 = 696,107/x
  3. Step 3: Cross multiply
    316,950x = 696,107 × 696,107
  4. Step 4: Simplify right side
    316,950x = 484,564,955,449
  5. Step 5: Solve for x
    x = 484,564,955,449/316,950
  6. Step 6: Final answer
    x = 1,528,837.22

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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.