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Finding the Third Proportional to 219,502.41 and 478,887.19

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Solution

The third proportional to 219,502.41 and 478,887.19 is: 1,044,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,502.41 : 478,887.19 = 478,887.19 : x
  2. Step 2: Convert to fraction form
    219,502.41/478,887.19 = 478,887.19/x
  3. Step 3: Cross multiply
    219,502.41x = 478,887.19 × 478,887.19
  4. Step 4: Simplify right side
    219,502.41x = 229,332,938,351.66
  5. Step 5: Solve for x
    x = 229,332,938,351.66/219,502.41
  6. Step 6: Final answer
    x = 1,044,785.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.