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Finding the Third Proportional to 473,578 and 722,186

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Solution

The third proportional to 473,578 and 722,186 is: 1,101,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,578 : 722,186 = 722,186 : x
  2. Step 2: Convert to fraction form
    473,578/722,186 = 722,186/x
  3. Step 3: Cross multiply
    473,578x = 722,186 × 722,186
  4. Step 4: Simplify right side
    473,578x = 521,552,618,596
  5. Step 5: Solve for x
    x = 521,552,618,596/473,578
  6. Step 6: Final answer
    x = 1,101,302.46

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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.