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Finding the Third Proportional to 406,930.50 and 883,917

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Solution

The third proportional to 406,930.50 and 883,917 is: 1,920,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,930.50 : 883,917 = 883,917 : x
  2. Step 2: Convert to fraction form
    406,930.50/883,917 = 883,917/x
  3. Step 3: Cross multiply
    406,930.50x = 883,917 × 883,917
  4. Step 4: Simplify right side
    406,930.50x = 781,309,262,889
  5. Step 5: Solve for x
    x = 781,309,262,889/406,930.50
  6. Step 6: Final answer
    x = 1,920,006.64

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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.