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Finding the Third Proportional to 360,328.50 and 834,063.75

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Solution

The third proportional to 360,328.50 and 834,063.75 is: 1,930,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,328.50 : 834,063.75 = 834,063.75 : x
  2. Step 2: Convert to fraction form
    360,328.50/834,063.75 = 834,063.75/x
  3. Step 3: Cross multiply
    360,328.50x = 834,063.75 × 834,063.75
  4. Step 4: Simplify right side
    360,328.50x = 695,662,339,064.06
  5. Step 5: Solve for x
    x = 695,662,339,064.06/360,328.50
  6. Step 6: Final answer
    x = 1,930,633.68

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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.