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Finding the Third Proportional to 751,775.25 and 1,165,859.25

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Solution

The third proportional to 751,775.25 and 1,165,859.25 is: 1,808,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,775.25 : 1,165,859.25 = 1,165,859.25 : x
  2. Step 2: Convert to fraction form
    751,775.25/1,165,859.25 = 1,165,859.25/x
  3. Step 3: Cross multiply
    751,775.25x = 1,165,859.25 × 1,165,859.25
  4. Step 4: Simplify right side
    751,775.25x = 1,359,227,790,810.56
  5. Step 5: Solve for x
    x = 1,359,227,790,810.56/751,775.25
  6. Step 6: Final answer
    x = 1,808,024.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.