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Finding the Third Proportional to 809,311.50 and 1,216,053

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Solution

The third proportional to 809,311.50 and 1,216,053 is: 1,827,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,311.50 : 1,216,053 = 1,216,053 : x
  2. Step 2: Convert to fraction form
    809,311.50/1,216,053 = 1,216,053/x
  3. Step 3: Cross multiply
    809,311.50x = 1,216,053 × 1,216,053
  4. Step 4: Simplify right side
    809,311.50x = 1,478,784,898,809
  5. Step 5: Solve for x
    x = 1,478,784,898,809/809,311.50
  6. Step 6: Final answer
    x = 1,827,213.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.