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Finding the Third Proportional to 360,199.50 and 783,823

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Solution

The third proportional to 360,199.50 and 783,823 is: 1,705,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,199.50 : 783,823 = 783,823 : x
  2. Step 2: Convert to fraction form
    360,199.50/783,823 = 783,823/x
  3. Step 3: Cross multiply
    360,199.50x = 783,823 × 783,823
  4. Step 4: Simplify right side
    360,199.50x = 614,378,495,329
  5. Step 5: Solve for x
    x = 614,378,495,329/360,199.50
  6. Step 6: Final answer
    x = 1,705,661.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.