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Finding the Third Proportional to 533,499.75 and 948,580.88

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Solution

The third proportional to 533,499.75 and 948,580.88 is: 1,686,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,499.75 : 948,580.88 = 948,580.88 : x
  2. Step 2: Convert to fraction form
    533,499.75/948,580.88 = 948,580.88/x
  3. Step 3: Cross multiply
    533,499.75x = 948,580.88 × 948,580.88
  4. Step 4: Simplify right side
    533,499.75x = 899,805,676,415.77
  5. Step 5: Solve for x
    x = 899,805,676,415.77/533,499.75
  6. Step 6: Final answer
    x = 1,686,609.37

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.