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Finding the Third Proportional to 325,174.50 and 510,774.75

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Solution

The third proportional to 325,174.50 and 510,774.75 is: 802,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,174.50 : 510,774.75 = 510,774.75 : x
  2. Step 2: Convert to fraction form
    325,174.50/510,774.75 = 510,774.75/x
  3. Step 3: Cross multiply
    325,174.50x = 510,774.75 × 510,774.75
  4. Step 4: Simplify right side
    325,174.50x = 260,890,845,237.56
  5. Step 5: Solve for x
    x = 260,890,845,237.56/325,174.50
  6. Step 6: Final answer
    x = 802,310.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.