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Finding the Third Proportional to 525,843.75 and 1,148,959.50

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Solution

The third proportional to 525,843.75 and 1,148,959.50 is: 2,510,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,843.75 : 1,148,959.50 = 1,148,959.50 : x
  2. Step 2: Convert to fraction form
    525,843.75/1,148,959.50 = 1,148,959.50/x
  3. Step 3: Cross multiply
    525,843.75x = 1,148,959.50 × 1,148,959.50
  4. Step 4: Simplify right side
    525,843.75x = 1,320,107,932,640.25
  5. Step 5: Solve for x
    x = 1,320,107,932,640.25/525,843.75
  6. Step 6: Final answer
    x = 2,510,456.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.