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Finding the Third Proportional to 413,448.19 and 890,239.50

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Solution

The third proportional to 413,448.19 and 890,239.50 is: 1,916,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,448.19 : 890,239.50 = 890,239.50 : x
  2. Step 2: Convert to fraction form
    413,448.19/890,239.50 = 890,239.50/x
  3. Step 3: Cross multiply
    413,448.19x = 890,239.50 × 890,239.50
  4. Step 4: Simplify right side
    413,448.19x = 792,526,367,360.25
  5. Step 5: Solve for x
    x = 792,526,367,360.25/413,448.19
  6. Step 6: Final answer
    x = 1,916,869.86

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Why These Related Problems?

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