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Finding the Third Proportional to 584,089.50 and 853,167

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Solution

The third proportional to 584,089.50 and 853,167 is: 1,246,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,089.50 : 853,167 = 853,167 : x
  2. Step 2: Convert to fraction form
    584,089.50/853,167 = 853,167/x
  3. Step 3: Cross multiply
    584,089.50x = 853,167 × 853,167
  4. Step 4: Simplify right side
    584,089.50x = 727,893,929,889
  5. Step 5: Solve for x
    x = 727,893,929,889/584,089.50
  6. Step 6: Final answer
    x = 1,246,202.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.