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Finding the Third Proportional to 580,564 and 853,775

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Solution

The third proportional to 580,564 and 853,775 is: 1,255,557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,564 : 853,775 = 853,775 : x
  2. Step 2: Convert to fraction form
    580,564/853,775 = 853,775/x
  3. Step 3: Cross multiply
    580,564x = 853,775 × 853,775
  4. Step 4: Simplify right side
    580,564x = 728,931,750,625
  5. Step 5: Solve for x
    x = 728,931,750,625/580,564
  6. Step 6: Final answer
    x = 1,255,557.96

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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.