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Finding the Third Proportional to 516,145.50 and 1,214,529

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Solution

The third proportional to 516,145.50 and 1,214,529 is: 2,857,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,145.50 : 1,214,529 = 1,214,529 : x
  2. Step 2: Convert to fraction form
    516,145.50/1,214,529 = 1,214,529/x
  3. Step 3: Cross multiply
    516,145.50x = 1,214,529 × 1,214,529
  4. Step 4: Simplify right side
    516,145.50x = 1,475,080,691,841
  5. Step 5: Solve for x
    x = 1,475,080,691,841/516,145.50
  6. Step 6: Final answer
    x = 2,857,877.66

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.