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Finding the Third Proportional to 316,950 and 696,108

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Solution

The third proportional to 316,950 and 696,108 is: 1,528,841.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,950 : 696,108 = 696,108 : x
  2. Step 2: Convert to fraction form
    316,950/696,108 = 696,108/x
  3. Step 3: Cross multiply
    316,950x = 696,108 × 696,108
  4. Step 4: Simplify right side
    316,950x = 484,566,347,664
  5. Step 5: Solve for x
    x = 484,566,347,664/316,950
  6. Step 6: Final answer
    x = 1,528,841.61

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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.