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Finding the Third Proportional to 645,205.50 and 944,986.50

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Solution

The third proportional to 645,205.50 and 944,986.50 is: 1,384,054.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,205.50 : 944,986.50 = 944,986.50 : x
  2. Step 2: Convert to fraction form
    645,205.50/944,986.50 = 944,986.50/x
  3. Step 3: Cross multiply
    645,205.50x = 944,986.50 × 944,986.50
  4. Step 4: Simplify right side
    645,205.50x = 892,999,485,182.25
  5. Step 5: Solve for x
    x = 892,999,485,182.25/645,205.50
  6. Step 6: Final answer
    x = 1,384,054.36

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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.