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Finding the Third Proportional to 648,263.25 and 1,414,624.50

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Solution

The third proportional to 648,263.25 and 1,414,624.50 is: 3,086,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,263.25 : 1,414,624.50 = 1,414,624.50 : x
  2. Step 2: Convert to fraction form
    648,263.25/1,414,624.50 = 1,414,624.50/x
  3. Step 3: Cross multiply
    648,263.25x = 1,414,624.50 × 1,414,624.50
  4. Step 4: Simplify right side
    648,263.25x = 2,001,162,476,000.25
  5. Step 5: Solve for x
    x = 2,001,162,476,000.25/648,263.25
  6. Step 6: Final answer
    x = 3,086,959.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.