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Finding the Third Proportional to 565,072 and 853,368

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Solution

The third proportional to 565,072 and 853,368 is: 1,288,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,072 : 853,368 = 853,368 : x
  2. Step 2: Convert to fraction form
    565,072/853,368 = 853,368/x
  3. Step 3: Cross multiply
    565,072x = 853,368 × 853,368
  4. Step 4: Simplify right side
    565,072x = 728,236,943,424
  5. Step 5: Solve for x
    x = 728,236,943,424/565,072
  6. Step 6: Final answer
    x = 1,288,750.71

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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.