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Finding the Third Proportional to 468,086 and 706,251

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Solution

The third proportional to 468,086 and 706,251 is: 1,065,595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,086 : 706,251 = 706,251 : x
  2. Step 2: Convert to fraction form
    468,086/706,251 = 706,251/x
  3. Step 3: Cross multiply
    468,086x = 706,251 × 706,251
  4. Step 4: Simplify right side
    468,086x = 498,790,475,001
  5. Step 5: Solve for x
    x = 498,790,475,001/468,086
  6. Step 6: Final answer
    x = 1,065,595.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.