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Finding the Third Proportional to 473,949 and 726,761.25

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Solution

The third proportional to 473,949 and 726,761.25 is: 1,114,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,949 : 726,761.25 = 726,761.25 : x
  2. Step 2: Convert to fraction form
    473,949/726,761.25 = 726,761.25/x
  3. Step 3: Cross multiply
    473,949x = 726,761.25 × 726,761.25
  4. Step 4: Simplify right side
    473,949x = 528,181,914,501.56
  5. Step 5: Solve for x
    x = 528,181,914,501.56/473,949
  6. Step 6: Final answer
    x = 1,114,427.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.