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Finding the Third Proportional to 360,309.50 and 834,029

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Solution

The third proportional to 360,309.50 and 834,029 is: 1,930,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,309.50 : 834,029 = 834,029 : x
  2. Step 2: Convert to fraction form
    360,309.50/834,029 = 834,029/x
  3. Step 3: Cross multiply
    360,309.50x = 834,029 × 834,029
  4. Step 4: Simplify right side
    360,309.50x = 695,604,372,841
  5. Step 5: Solve for x
    x = 695,604,372,841/360,309.50
  6. Step 6: Final answer
    x = 1,930,574.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.