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Finding the Third Proportional to 593,158.50 and 919,229.25

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Solution

The third proportional to 593,158.50 and 919,229.25 is: 1,424,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,158.50 : 919,229.25 = 919,229.25 : x
  2. Step 2: Convert to fraction form
    593,158.50/919,229.25 = 919,229.25/x
  3. Step 3: Cross multiply
    593,158.50x = 919,229.25 × 919,229.25
  4. Step 4: Simplify right side
    593,158.50x = 844,982,414,055.56
  5. Step 5: Solve for x
    x = 844,982,414,055.56/593,158.50
  6. Step 6: Final answer
    x = 1,424,547.43

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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.