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Finding the Third Proportional to 219,289 and 472,415.50

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Solution

The third proportional to 219,289 and 472,415.50 is: 1,017,727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,289 : 472,415.50 = 472,415.50 : x
  2. Step 2: Convert to fraction form
    219,289/472,415.50 = 472,415.50/x
  3. Step 3: Cross multiply
    219,289x = 472,415.50 × 472,415.50
  4. Step 4: Simplify right side
    219,289x = 223,176,404,640.25
  5. Step 5: Solve for x
    x = 223,176,404,640.25/219,289
  6. Step 6: Final answer
    x = 1,017,727.31

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