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Finding the Third Proportional to 346,324.50 and 541,356.75

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Solution

The third proportional to 346,324.50 and 541,356.75 is: 846,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,324.50 : 541,356.75 = 541,356.75 : x
  2. Step 2: Convert to fraction form
    346,324.50/541,356.75 = 541,356.75/x
  3. Step 3: Cross multiply
    346,324.50x = 541,356.75 × 541,356.75
  4. Step 4: Simplify right side
    346,324.50x = 293,067,130,770.56
  5. Step 5: Solve for x
    x = 293,067,130,770.56/346,324.50
  6. Step 6: Final answer
    x = 846,221.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.