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Finding the Third Proportional to 468,100.50 and 685,486.50

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Solution

The third proportional to 468,100.50 and 685,486.50 is: 1,003,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,100.50 : 685,486.50 = 685,486.50 : x
  2. Step 2: Convert to fraction form
    468,100.50/685,486.50 = 685,486.50/x
  3. Step 3: Cross multiply
    468,100.50x = 685,486.50 × 685,486.50
  4. Step 4: Simplify right side
    468,100.50x = 469,891,741,682.25
  5. Step 5: Solve for x
    x = 469,891,741,682.25/468,100.50
  6. Step 6: Final answer
    x = 1,003,826.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.