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Finding the Third Proportional to 325,878.38 and 477,151.50

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Solution

The third proportional to 325,878.38 and 477,151.50 is: 698,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,878.38 : 477,151.50 = 477,151.50 : x
  2. Step 2: Convert to fraction form
    325,878.38/477,151.50 = 477,151.50/x
  3. Step 3: Cross multiply
    325,878.38x = 477,151.50 × 477,151.50
  4. Step 4: Simplify right side
    325,878.38x = 227,673,553,952.25
  5. Step 5: Solve for x
    x = 227,673,553,952.25/325,878.38
  6. Step 6: Final answer
    x = 698,645.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.