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Finding the Third Proportional to 525,529.27 and 1,149,200.16

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Solution

The third proportional to 525,529.27 and 1,149,200.16 is: 2,513,011.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,529.27 : 1,149,200.16 = 1,149,200.16 : x
  2. Step 2: Convert to fraction form
    525,529.27/1,149,200.16 = 1,149,200.16/x
  3. Step 3: Cross multiply
    525,529.27x = 1,149,200.16 × 1,149,200.16
  4. Step 4: Simplify right side
    525,529.27x = 1,320,660,999,125.02
  5. Step 5: Solve for x
    x = 1,320,660,999,125.02/525,529.27
  6. Step 6: Final answer
    x = 2,513,011.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.