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Finding the Third Proportional to 219,310 and 330,584

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Solution

The third proportional to 219,310 and 330,584 is: 498,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,310 : 330,584 = 330,584 : x
  2. Step 2: Convert to fraction form
    219,310/330,584 = 330,584/x
  3. Step 3: Cross multiply
    219,310x = 330,584 × 330,584
  4. Step 4: Simplify right side
    219,310x = 109,285,781,056
  5. Step 5: Solve for x
    x = 109,285,781,056/219,310
  6. Step 6: Final answer
    x = 498,316.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.