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Finding the Third Proportional to 219,746 and 473,092

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Solution

The third proportional to 219,746 and 473,092 is: 1,018,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,746 : 473,092 = 473,092 : x
  2. Step 2: Convert to fraction form
    219,746/473,092 = 473,092/x
  3. Step 3: Cross multiply
    219,746x = 473,092 × 473,092
  4. Step 4: Simplify right side
    219,746x = 223,816,040,464
  5. Step 5: Solve for x
    x = 223,816,040,464/219,746
  6. Step 6: Final answer
    x = 1,018,521.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.