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Finding the Third Proportional to 343,365.75 and 532,301.63

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Solution

The third proportional to 343,365.75 and 532,301.63 is: 825,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,365.75 : 532,301.63 = 532,301.63 : x
  2. Step 2: Convert to fraction form
    343,365.75/532,301.63 = 532,301.63/x
  3. Step 3: Cross multiply
    343,365.75x = 532,301.63 × 532,301.63
  4. Step 4: Simplify right side
    343,365.75x = 283,345,019,977.64
  5. Step 5: Solve for x
    x = 283,345,019,977.64/343,365.75
  6. Step 6: Final answer
    x = 825,198.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.