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Finding the Third Proportional to 468,814.50 and 722,682

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Solution

The third proportional to 468,814.50 and 722,682 is: 1,114,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,814.50 : 722,682 = 722,682 : x
  2. Step 2: Convert to fraction form
    468,814.50/722,682 = 722,682/x
  3. Step 3: Cross multiply
    468,814.50x = 722,682 × 722,682
  4. Step 4: Simplify right side
    468,814.50x = 522,269,273,124
  5. Step 5: Solve for x
    x = 522,269,273,124/468,814.50
  6. Step 6: Final answer
    x = 1,114,021.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.