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Finding the Third Proportional to 670,380.75 and 992,533.50

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Solution

The third proportional to 670,380.75 and 992,533.50 is: 1,469,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,380.75 : 992,533.50 = 992,533.50 : x
  2. Step 2: Convert to fraction form
    670,380.75/992,533.50 = 992,533.50/x
  3. Step 3: Cross multiply
    670,380.75x = 992,533.50 × 992,533.50
  4. Step 4: Simplify right side
    670,380.75x = 985,122,748,622.25
  5. Step 5: Solve for x
    x = 985,122,748,622.25/670,380.75
  6. Step 6: Final answer
    x = 1,469,497.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.