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Finding the Third Proportional to 454,538 and 703,791

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Solution

The third proportional to 454,538 and 703,791 is: 1,089,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,538 : 703,791 = 703,791 : x
  2. Step 2: Convert to fraction form
    454,538/703,791 = 703,791/x
  3. Step 3: Cross multiply
    454,538x = 703,791 × 703,791
  4. Step 4: Simplify right side
    454,538x = 495,321,771,681
  5. Step 5: Solve for x
    x = 495,321,771,681/454,538
  6. Step 6: Final answer
    x = 1,089,725.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.