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Finding the Third Proportional to 560,504 and 853,716

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Solution

The third proportional to 560,504 and 853,716 is: 1,300,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,504 : 853,716 = 853,716 : x
  2. Step 2: Convert to fraction form
    560,504/853,716 = 853,716/x
  3. Step 3: Cross multiply
    560,504x = 853,716 × 853,716
  4. Step 4: Simplify right side
    560,504x = 728,831,008,656
  5. Step 5: Solve for x
    x = 728,831,008,656/560,504
  6. Step 6: Final answer
    x = 1,300,313.66

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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.