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Finding the Third Proportional to 508,155.75 and 696,794.25

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Solution

The third proportional to 508,155.75 and 696,794.25 is: 955,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,155.75 : 696,794.25 = 696,794.25 : x
  2. Step 2: Convert to fraction form
    508,155.75/696,794.25 = 696,794.25/x
  3. Step 3: Cross multiply
    508,155.75x = 696,794.25 × 696,794.25
  4. Step 4: Simplify right side
    508,155.75x = 485,522,226,833.06
  5. Step 5: Solve for x
    x = 485,522,226,833.06/508,155.75
  6. Step 6: Final answer
    x = 955,459.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.