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Finding the Third Proportional to 511,856 and 802,878

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Solution

The third proportional to 511,856 and 802,878 is: 1,259,364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,856 : 802,878 = 802,878 : x
  2. Step 2: Convert to fraction form
    511,856/802,878 = 802,878/x
  3. Step 3: Cross multiply
    511,856x = 802,878 × 802,878
  4. Step 4: Simplify right side
    511,856x = 644,613,082,884
  5. Step 5: Solve for x
    x = 644,613,082,884/511,856
  6. Step 6: Final answer
    x = 1,259,364.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.