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Finding the Third Proportional to 469,089.56 and 701,532.56

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Solution

The third proportional to 469,089.56 and 701,532.56 is: 1,049,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,089.56 : 701,532.56 = 701,532.56 : x
  2. Step 2: Convert to fraction form
    469,089.56/701,532.56 = 701,532.56/x
  3. Step 3: Cross multiply
    469,089.56x = 701,532.56 × 701,532.56
  4. Step 4: Simplify right side
    469,089.56x = 492,147,936,247.82
  5. Step 5: Solve for x
    x = 492,147,936,247.82/469,089.56
  6. Step 6: Final answer
    x = 1,049,155.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.