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Finding the Third Proportional to 523,188 and 809,946

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Solution

The third proportional to 523,188 and 809,946 is: 1,253,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,188 : 809,946 = 809,946 : x
  2. Step 2: Convert to fraction form
    523,188/809,946 = 809,946/x
  3. Step 3: Cross multiply
    523,188x = 809,946 × 809,946
  4. Step 4: Simplify right side
    523,188x = 656,012,522,916
  5. Step 5: Solve for x
    x = 656,012,522,916/523,188
  6. Step 6: Final answer
    x = 1,253,875.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.