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Finding the Third Proportional to 219,672.38 and 456,838.13

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Solution

The third proportional to 219,672.38 and 456,838.13 is: 950,056.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,672.38 : 456,838.13 = 456,838.13 : x
  2. Step 2: Convert to fraction form
    219,672.38/456,838.13 = 456,838.13/x
  3. Step 3: Cross multiply
    219,672.38x = 456,838.13 × 456,838.13
  4. Step 4: Simplify right side
    219,672.38x = 208,701,072,453.52
  5. Step 5: Solve for x
    x = 208,701,072,453.52/219,672.38
  6. Step 6: Final answer
    x = 950,056.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.