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Finding the Third Proportional to 593,311.50 and 1,228,653

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Solution

The third proportional to 593,311.50 and 1,228,653 is: 2,544,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,311.50 : 1,228,653 = 1,228,653 : x
  2. Step 2: Convert to fraction form
    593,311.50/1,228,653 = 1,228,653/x
  3. Step 3: Cross multiply
    593,311.50x = 1,228,653 × 1,228,653
  4. Step 4: Simplify right side
    593,311.50x = 1,509,588,194,409
  5. Step 5: Solve for x
    x = 1,509,588,194,409/593,311.50
  6. Step 6: Final answer
    x = 2,544,343.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.