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Finding the Third Proportional to 473,578 and 722,185

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Solution

The third proportional to 473,578 and 722,185 is: 1,101,299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,578 : 722,185 = 722,185 : x
  2. Step 2: Convert to fraction form
    473,578/722,185 = 722,185/x
  3. Step 3: Cross multiply
    473,578x = 722,185 × 722,185
  4. Step 4: Simplify right side
    473,578x = 521,551,174,225
  5. Step 5: Solve for x
    x = 521,551,174,225/473,578
  6. Step 6: Final answer
    x = 1,101,299.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.