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Finding the Third Proportional to 350,950.50 and 718,533

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Solution

The third proportional to 350,950.50 and 718,533 is: 1,471,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,950.50 : 718,533 = 718,533 : x
  2. Step 2: Convert to fraction form
    350,950.50/718,533 = 718,533/x
  3. Step 3: Cross multiply
    350,950.50x = 718,533 × 718,533
  4. Step 4: Simplify right side
    350,950.50x = 516,289,672,089
  5. Step 5: Solve for x
    x = 516,289,672,089/350,950.50
  6. Step 6: Final answer
    x = 1,471,118.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.