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Finding the Third Proportional to 559,888 and 850,199

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Solution

The third proportional to 559,888 and 850,199 is: 1,291,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,888 : 850,199 = 850,199 : x
  2. Step 2: Convert to fraction form
    559,888/850,199 = 850,199/x
  3. Step 3: Cross multiply
    559,888x = 850,199 × 850,199
  4. Step 4: Simplify right side
    559,888x = 722,838,339,601
  5. Step 5: Solve for x
    x = 722,838,339,601/559,888
  6. Step 6: Final answer
    x = 1,291,040.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.