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Finding the Third Proportional to 538,049.53 and 824,023.55

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Solution

The third proportional to 538,049.53 and 824,023.55 is: 1,261,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,049.53 : 824,023.55 = 824,023.55 : x
  2. Step 2: Convert to fraction form
    538,049.53/824,023.55 = 824,023.55/x
  3. Step 3: Cross multiply
    538,049.53x = 824,023.55 × 824,023.55
  4. Step 4: Simplify right side
    538,049.53x = 679,014,805,804.46
  5. Step 5: Solve for x
    x = 679,014,805,804.46/538,049.53
  6. Step 6: Final answer
    x = 1,261,993.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.