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Finding the Third Proportional to 593,122.50 and 919,177.88

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Solution

The third proportional to 593,122.50 and 919,177.88 is: 1,424,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,122.50 : 919,177.88 = 919,177.88 : x
  2. Step 2: Convert to fraction form
    593,122.50/919,177.88 = 919,177.88/x
  3. Step 3: Cross multiply
    593,122.50x = 919,177.88 × 919,177.88
  4. Step 4: Simplify right side
    593,122.50x = 844,887,965,889.52
  5. Step 5: Solve for x
    x = 844,887,965,889.52/593,122.50
  6. Step 6: Final answer
    x = 1,424,474.65

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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.