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Finding the Third Proportional to 337,946 and 523,097

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Solution

The third proportional to 337,946 and 523,097 is: 809,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,946 : 523,097 = 523,097 : x
  2. Step 2: Convert to fraction form
    337,946/523,097 = 523,097/x
  3. Step 3: Cross multiply
    337,946x = 523,097 × 523,097
  4. Step 4: Simplify right side
    337,946x = 273,630,471,409
  5. Step 5: Solve for x
    x = 273,630,471,409/337,946
  6. Step 6: Final answer
    x = 809,686.97

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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.