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Finding the Third Proportional to 373,917 and 524,668.50

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Solution

The third proportional to 373,917 and 524,668.50 is: 736,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,917 : 524,668.50 = 524,668.50 : x
  2. Step 2: Convert to fraction form
    373,917/524,668.50 = 524,668.50/x
  3. Step 3: Cross multiply
    373,917x = 524,668.50 × 524,668.50
  4. Step 4: Simplify right side
    373,917x = 275,277,034,892.25
  5. Step 5: Solve for x
    x = 275,277,034,892.25/373,917
  6. Step 6: Final answer
    x = 736,198.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.