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Finding the Third Proportional to 360,509.48 and 769,269.66

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Solution

The third proportional to 360,509.48 and 769,269.66 is: 1,641,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,509.48 : 769,269.66 = 769,269.66 : x
  2. Step 2: Convert to fraction form
    360,509.48/769,269.66 = 769,269.66/x
  3. Step 3: Cross multiply
    360,509.48x = 769,269.66 × 769,269.66
  4. Step 4: Simplify right side
    360,509.48x = 591,775,804,026.99
  5. Step 5: Solve for x
    x = 591,775,804,026.99/360,509.48
  6. Step 6: Final answer
    x = 1,641,498.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.