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Finding the Third Proportional to 593,142.75 and 919,208.25

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Solution

The third proportional to 593,142.75 and 919,208.25 is: 1,424,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,142.75 : 919,208.25 = 919,208.25 : x
  2. Step 2: Convert to fraction form
    593,142.75/919,208.25 = 919,208.25/x
  3. Step 3: Cross multiply
    593,142.75x = 919,208.25 × 919,208.25
  4. Step 4: Simplify right side
    593,142.75x = 844,943,806,868.06
  5. Step 5: Solve for x
    x = 844,943,806,868.06/593,142.75
  6. Step 6: Final answer
    x = 1,424,520.16

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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.