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Finding the Third Proportional to 533,536.88 and 780,318.56

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Solution

The third proportional to 533,536.88 and 780,318.56 is: 1,141,246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,536.88 : 780,318.56 = 780,318.56 : x
  2. Step 2: Convert to fraction form
    533,536.88/780,318.56 = 780,318.56/x
  3. Step 3: Cross multiply
    533,536.88x = 780,318.56 × 780,318.56
  4. Step 4: Simplify right side
    533,536.88x = 608,897,058,982.07
  5. Step 5: Solve for x
    x = 608,897,058,982.07/533,536.88
  6. Step 6: Final answer
    x = 1,141,246.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.