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Finding the Third Proportional to 219,354.75 and 475,881.75

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Solution

The third proportional to 219,354.75 and 475,881.75 is: 1,032,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,354.75 : 475,881.75 = 475,881.75 : x
  2. Step 2: Convert to fraction form
    219,354.75/475,881.75 = 475,881.75/x
  3. Step 3: Cross multiply
    219,354.75x = 475,881.75 × 475,881.75
  4. Step 4: Simplify right side
    219,354.75x = 226,463,439,983.06
  5. Step 5: Solve for x
    x = 226,463,439,983.06/219,354.75
  6. Step 6: Final answer
    x = 1,032,407.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.