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Finding the Third Proportional to 219,409.17 and 472,032.14

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Solution

The third proportional to 219,409.17 and 472,032.14 is: 1,015,519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,409.17 : 472,032.14 = 472,032.14 : x
  2. Step 2: Convert to fraction form
    219,409.17/472,032.14 = 472,032.14/x
  3. Step 3: Cross multiply
    219,409.17x = 472,032.14 × 472,032.14
  4. Step 4: Simplify right side
    219,409.17x = 222,814,341,783.02
  5. Step 5: Solve for x
    x = 222,814,341,783.02/219,409.17
  6. Step 6: Final answer
    x = 1,015,519.72

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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.