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Finding the Third Proportional to 315,945 and 695,934

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Solution

The third proportional to 315,945 and 695,934 is: 1,532,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,945 : 695,934 = 695,934 : x
  2. Step 2: Convert to fraction form
    315,945/695,934 = 695,934/x
  3. Step 3: Cross multiply
    315,945x = 695,934 × 695,934
  4. Step 4: Simplify right side
    315,945x = 484,324,132,356
  5. Step 5: Solve for x
    x = 484,324,132,356/315,945
  6. Step 6: Final answer
    x = 1,532,938.11

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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.