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Finding the Third Proportional to 458,158 and 696,957

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Solution

The third proportional to 458,158 and 696,957 is: 1,060,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,158 : 696,957 = 696,957 : x
  2. Step 2: Convert to fraction form
    458,158/696,957 = 696,957/x
  3. Step 3: Cross multiply
    458,158x = 696,957 × 696,957
  4. Step 4: Simplify right side
    458,158x = 485,749,059,849
  5. Step 5: Solve for x
    x = 485,749,059,849/458,158
  6. Step 6: Final answer
    x = 1,060,221.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.