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Finding the Third Proportional to 517,711.50 and 794,655.56

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Solution

The third proportional to 517,711.50 and 794,655.56 is: 1,219,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,711.50 : 794,655.56 = 794,655.56 : x
  2. Step 2: Convert to fraction form
    517,711.50/794,655.56 = 794,655.56/x
  3. Step 3: Cross multiply
    517,711.50x = 794,655.56 × 794,655.56
  4. Step 4: Simplify right side
    517,711.50x = 631,477,463,012.19
  5. Step 5: Solve for x
    x = 631,477,463,012.19/517,711.50
  6. Step 6: Final answer
    x = 1,219,747.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.