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Finding the Third Proportional to 593,267.63 and 1,228,592.81

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Solution

The third proportional to 593,267.63 and 1,228,592.81 is: 2,544,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,267.63 : 1,228,592.81 = 1,228,592.81 : x
  2. Step 2: Convert to fraction form
    593,267.63/1,228,592.81 = 1,228,592.81/x
  3. Step 3: Cross multiply
    593,267.63x = 1,228,592.81 × 1,228,592.81
  4. Step 4: Simplify right side
    593,267.63x = 1,509,440,298,926.66
  5. Step 5: Solve for x
    x = 1,509,440,298,926.66/593,267.63
  6. Step 6: Final answer
    x = 2,544,282.27

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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.