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Finding the Third Proportional to 593,152.88 and 919,223.44

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Solution

The third proportional to 593,152.88 and 919,223.44 is: 1,424,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,152.88 : 919,223.44 = 919,223.44 : x
  2. Step 2: Convert to fraction form
    593,152.88/919,223.44 = 919,223.44/x
  3. Step 3: Cross multiply
    593,152.88x = 919,223.44 × 919,223.44
  4. Step 4: Simplify right side
    593,152.88x = 844,971,728,049.32
  5. Step 5: Solve for x
    x = 844,971,728,049.32/593,152.88
  6. Step 6: Final answer
    x = 1,424,542.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.