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Finding the Third Proportional to 406,913.25 and 883,879.50

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Solution

The third proportional to 406,913.25 and 883,879.50 is: 1,919,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,913.25 : 883,879.50 = 883,879.50 : x
  2. Step 2: Convert to fraction form
    406,913.25/883,879.50 = 883,879.50/x
  3. Step 3: Cross multiply
    406,913.25x = 883,879.50 × 883,879.50
  4. Step 4: Simplify right side
    406,913.25x = 781,242,970,520.25
  5. Step 5: Solve for x
    x = 781,242,970,520.25/406,913.25
  6. Step 6: Final answer
    x = 1,919,925.12

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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.