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Finding the Third Proportional to 343,824 and 516,385.50

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Solution

The third proportional to 343,824 and 516,385.50 is: 775,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,824 : 516,385.50 = 516,385.50 : x
  2. Step 2: Convert to fraction form
    343,824/516,385.50 = 516,385.50/x
  3. Step 3: Cross multiply
    343,824x = 516,385.50 × 516,385.50
  4. Step 4: Simplify right side
    343,824x = 266,653,984,610.25
  5. Step 5: Solve for x
    x = 266,653,984,610.25/343,824
  6. Step 6: Final answer
    x = 775,553.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.