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Finding the Third Proportional to 584,310.50 and 913,370.75

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Solution

The third proportional to 584,310.50 and 913,370.75 is: 1,427,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,310.50 : 913,370.75 = 913,370.75 : x
  2. Step 2: Convert to fraction form
    584,310.50/913,370.75 = 913,370.75/x
  3. Step 3: Cross multiply
    584,310.50x = 913,370.75 × 913,370.75
  4. Step 4: Simplify right side
    584,310.50x = 834,246,126,955.56
  5. Step 5: Solve for x
    x = 834,246,126,955.56/584,310.50
  6. Step 6: Final answer
    x = 1,427,744.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.