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Finding the Third Proportional to 628,377.75 and 995,464.69

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Solution

The third proportional to 628,377.75 and 995,464.69 is: 1,576,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,377.75 : 995,464.69 = 995,464.69 : x
  2. Step 2: Convert to fraction form
    628,377.75/995,464.69 = 995,464.69/x
  3. Step 3: Cross multiply
    628,377.75x = 995,464.69 × 995,464.69
  4. Step 4: Simplify right side
    628,377.75x = 990,949,944,059.47
  5. Step 5: Solve for x
    x = 990,949,944,059.47/628,377.75
  6. Step 6: Final answer
    x = 1,576,997.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.