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Finding the Third Proportional to 269,074 and 570,946

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Solution

The third proportional to 269,074 and 570,946 is: 1,211,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,074 : 570,946 = 570,946 : x
  2. Step 2: Convert to fraction form
    269,074/570,946 = 570,946/x
  3. Step 3: Cross multiply
    269,074x = 570,946 × 570,946
  4. Step 4: Simplify right side
    269,074x = 325,979,334,916
  5. Step 5: Solve for x
    x = 325,979,334,916/269,074
  6. Step 6: Final answer
    x = 1,211,485.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.