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Finding the Third Proportional to 466,249.50 and 696,488.63

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Solution

The third proportional to 466,249.50 and 696,488.63 is: 1,040,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,249.50 : 696,488.63 = 696,488.63 : x
  2. Step 2: Convert to fraction form
    466,249.50/696,488.63 = 696,488.63/x
  3. Step 3: Cross multiply
    466,249.50x = 696,488.63 × 696,488.63
  4. Step 4: Simplify right side
    466,249.50x = 485,096,404,754.39
  5. Step 5: Solve for x
    x = 485,096,404,754.39/466,249.50
  6. Step 6: Final answer
    x = 1,040,422.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.