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Finding the Third Proportional to 523,999.13 and 768,745.69

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Solution

The third proportional to 523,999.13 and 768,745.69 is: 1,127,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,999.13 : 768,745.69 = 768,745.69 : x
  2. Step 2: Convert to fraction form
    523,999.13/768,745.69 = 768,745.69/x
  3. Step 3: Cross multiply
    523,999.13x = 768,745.69 × 768,745.69
  4. Step 4: Simplify right side
    523,999.13x = 590,969,932,049.85
  5. Step 5: Solve for x
    x = 590,969,932,049.85/523,999.13
  6. Step 6: Final answer
    x = 1,127,807.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.