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Finding the Third Proportional to 535,307 and 1,115,016

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Solution

The third proportional to 535,307 and 1,115,016 is: 2,322,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,307 : 1,115,016 = 1,115,016 : x
  2. Step 2: Convert to fraction form
    535,307/1,115,016 = 1,115,016/x
  3. Step 3: Cross multiply
    535,307x = 1,115,016 × 1,115,016
  4. Step 4: Simplify right side
    535,307x = 1,243,260,680,256
  5. Step 5: Solve for x
    x = 1,243,260,680,256/535,307
  6. Step 6: Final answer
    x = 2,322,519.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.