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Finding the Third Proportional to 219,411 and 472,113

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Solution

The third proportional to 219,411 and 472,113 is: 1,015,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,411 : 472,113 = 472,113 : x
  2. Step 2: Convert to fraction form
    219,411/472,113 = 472,113/x
  3. Step 3: Cross multiply
    219,411x = 472,113 × 472,113
  4. Step 4: Simplify right side
    219,411x = 222,890,684,769
  5. Step 5: Solve for x
    x = 222,890,684,769/219,411
  6. Step 6: Final answer
    x = 1,015,859.21

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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.