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Finding the Third Proportional to 695,184.75 and 992,214

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Solution

The third proportional to 695,184.75 and 992,214 is: 1,416,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,184.75 : 992,214 = 992,214 : x
  2. Step 2: Convert to fraction form
    695,184.75/992,214 = 992,214/x
  3. Step 3: Cross multiply
    695,184.75x = 992,214 × 992,214
  4. Step 4: Simplify right side
    695,184.75x = 984,488,621,796
  5. Step 5: Solve for x
    x = 984,488,621,796/695,184.75
  6. Step 6: Final answer
    x = 1,416,153.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.