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Finding the Third Proportional to 530,229 and 803,067

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Solution

The third proportional to 530,229 and 803,067 is: 1,216,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,229 : 803,067 = 803,067 : x
  2. Step 2: Convert to fraction form
    530,229/803,067 = 803,067/x
  3. Step 3: Cross multiply
    530,229x = 803,067 × 803,067
  4. Step 4: Simplify right side
    530,229x = 644,916,606,489
  5. Step 5: Solve for x
    x = 644,916,606,489/530,229
  6. Step 6: Final answer
    x = 1,216,298.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.