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Finding the Third Proportional to 530,238 and 803,079

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Solution

The third proportional to 530,238 and 803,079 is: 1,216,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,238 : 803,079 = 803,079 : x
  2. Step 2: Convert to fraction form
    530,238/803,079 = 803,079/x
  3. Step 3: Cross multiply
    530,238x = 803,079 × 803,079
  4. Step 4: Simplify right side
    530,238x = 644,935,880,241
  5. Step 5: Solve for x
    x = 644,935,880,241/530,238
  6. Step 6: Final answer
    x = 1,216,313.96

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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.