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Finding the Third Proportional to 565,064 and 853,356

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Solution

The third proportional to 565,064 and 853,356 is: 1,288,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,064 : 853,356 = 853,356 : x
  2. Step 2: Convert to fraction form
    565,064/853,356 = 853,356/x
  3. Step 3: Cross multiply
    565,064x = 853,356 × 853,356
  4. Step 4: Simplify right side
    565,064x = 728,216,462,736
  5. Step 5: Solve for x
    x = 728,216,462,736/565,064
  6. Step 6: Final answer
    x = 1,288,732.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.