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Finding the Third Proportional to 538,563 and 1,166,882.50

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Solution

The third proportional to 538,563 and 1,166,882.50 is: 2,528,236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,563 : 1,166,882.50 = 1,166,882.50 : x
  2. Step 2: Convert to fraction form
    538,563/1,166,882.50 = 1,166,882.50/x
  3. Step 3: Cross multiply
    538,563x = 1,166,882.50 × 1,166,882.50
  4. Step 4: Simplify right side
    538,563x = 1,361,614,768,806.25
  5. Step 5: Solve for x
    x = 1,361,614,768,806.25/538,563
  6. Step 6: Final answer
    x = 2,528,236.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.