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Finding the Third Proportional to 593,269.50 and 1,228,596

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Solution

The third proportional to 593,269.50 and 1,228,596 is: 2,544,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,269.50 : 1,228,596 = 1,228,596 : x
  2. Step 2: Convert to fraction form
    593,269.50/1,228,596 = 1,228,596/x
  3. Step 3: Cross multiply
    593,269.50x = 1,228,596 × 1,228,596
  4. Step 4: Simplify right side
    593,269.50x = 1,509,448,131,216
  5. Step 5: Solve for x
    x = 1,509,448,131,216/593,269.50
  6. Step 6: Final answer
    x = 2,544,287.43

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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.