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Finding the Third Proportional to 322,469,284.50 and 705,295,228.50

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Solution

The third proportional to 322,469,284.50 and 705,295,228.50 is: 1,542,600,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,469,284.50 : 705,295,228.50 = 705,295,228.50 : x
  2. Step 2: Convert to fraction form
    322,469,284.50/705,295,228.50 = 705,295,228.50/x
  3. Step 3: Cross multiply
    322,469,284.50x = 705,295,228.50 × 705,295,228.50
  4. Step 4: Simplify right side
    322,469,284.50x = 497,441,359,344,867,200
  5. Step 5: Solve for x
    x = 497,441,359,344,867,200/322,469,284.50
  6. Step 6: Final answer
    x = 1,542,600,747.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.