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Finding the Third Proportional to 352,779.75 and 755,363.25

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Solution

The third proportional to 352,779.75 and 755,363.25 is: 1,617,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,779.75 : 755,363.25 = 755,363.25 : x
  2. Step 2: Convert to fraction form
    352,779.75/755,363.25 = 755,363.25/x
  3. Step 3: Cross multiply
    352,779.75x = 755,363.25 × 755,363.25
  4. Step 4: Simplify right side
    352,779.75x = 570,573,639,450.56
  5. Step 5: Solve for x
    x = 570,573,639,450.56/352,779.75
  6. Step 6: Final answer
    x = 1,617,365.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.