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Finding the Third Proportional to 325,701.75 and 503,316.75

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Solution

The third proportional to 325,701.75 and 503,316.75 is: 777,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,701.75 : 503,316.75 = 503,316.75 : x
  2. Step 2: Convert to fraction form
    325,701.75/503,316.75 = 503,316.75/x
  3. Step 3: Cross multiply
    325,701.75x = 503,316.75 × 503,316.75
  4. Step 4: Simplify right side
    325,701.75x = 253,327,750,830.56
  5. Step 5: Solve for x
    x = 253,327,750,830.56/325,701.75
  6. Step 6: Final answer
    x = 777,790.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.