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Finding the Third Proportional to 485,692 and 723,558

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Solution

The third proportional to 485,692 and 723,558 is: 1,077,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,692 : 723,558 = 723,558 : x
  2. Step 2: Convert to fraction form
    485,692/723,558 = 723,558/x
  3. Step 3: Cross multiply
    485,692x = 723,558 × 723,558
  4. Step 4: Simplify right side
    485,692x = 523,536,179,364
  5. Step 5: Solve for x
    x = 523,536,179,364/485,692
  6. Step 6: Final answer
    x = 1,077,918.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.