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Finding the Third Proportional to 567,650 and 853,844

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Solution

The third proportional to 567,650 and 853,844 is: 1,284,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,650 : 853,844 = 853,844 : x
  2. Step 2: Convert to fraction form
    567,650/853,844 = 853,844/x
  3. Step 3: Cross multiply
    567,650x = 853,844 × 853,844
  4. Step 4: Simplify right side
    567,650x = 729,049,576,336
  5. Step 5: Solve for x
    x = 729,049,576,336/567,650
  6. Step 6: Final answer
    x = 1,284,329.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.