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Finding the Third Proportional to 525,192.75 and 811,109.25

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Solution

The third proportional to 525,192.75 and 811,109.25 is: 1,252,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,192.75 : 811,109.25 = 811,109.25 : x
  2. Step 2: Convert to fraction form
    525,192.75/811,109.25 = 811,109.25/x
  3. Step 3: Cross multiply
    525,192.75x = 811,109.25 × 811,109.25
  4. Step 4: Simplify right side
    525,192.75x = 657,898,215,435.56
  5. Step 5: Solve for x
    x = 657,898,215,435.56/525,192.75
  6. Step 6: Final answer
    x = 1,252,679.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.