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Finding the Third Proportional to 442,779 and 950,059.50

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Solution

The third proportional to 442,779 and 950,059.50 is: 2,038,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,779 : 950,059.50 = 950,059.50 : x
  2. Step 2: Convert to fraction form
    442,779/950,059.50 = 950,059.50/x
  3. Step 3: Cross multiply
    442,779x = 950,059.50 × 950,059.50
  4. Step 4: Simplify right side
    442,779x = 902,613,053,540.25
  5. Step 5: Solve for x
    x = 902,613,053,540.25/442,779
  6. Step 6: Final answer
    x = 2,038,518.21

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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.