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Finding the Third Proportional to 408,376.69 and 886,600.69

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Solution

The third proportional to 408,376.69 and 886,600.69 is: 1,924,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,376.69 : 886,600.69 = 886,600.69 : x
  2. Step 2: Convert to fraction form
    408,376.69/886,600.69 = 886,600.69/x
  3. Step 3: Cross multiply
    408,376.69x = 886,600.69 × 886,600.69
  4. Step 4: Simplify right side
    408,376.69x = 786,060,779,075.47
  5. Step 5: Solve for x
    x = 786,060,779,075.47/408,376.69
  6. Step 6: Final answer
    x = 1,924,842.44

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Why These Related Problems?

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