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Finding the Third Proportional to 466,357.50 and 696,649.50

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Solution

The third proportional to 466,357.50 and 696,649.50 is: 1,040,661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,357.50 : 696,649.50 = 696,649.50 : x
  2. Step 2: Convert to fraction form
    466,357.50/696,649.50 = 696,649.50/x
  3. Step 3: Cross multiply
    466,357.50x = 696,649.50 × 696,649.50
  4. Step 4: Simplify right side
    466,357.50x = 485,320,525,850.25
  5. Step 5: Solve for x
    x = 485,320,525,850.25/466,357.50
  6. Step 6: Final answer
    x = 1,040,661.99

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