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Finding the Third Proportional to 596,214 and 886,212

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Solution

The third proportional to 596,214 and 886,212 is: 1,317,264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,214 : 886,212 = 886,212 : x
  2. Step 2: Convert to fraction form
    596,214/886,212 = 886,212/x
  3. Step 3: Cross multiply
    596,214x = 886,212 × 886,212
  4. Step 4: Simplify right side
    596,214x = 785,371,708,944
  5. Step 5: Solve for x
    x = 785,371,708,944/596,214
  6. Step 6: Final answer
    x = 1,317,264.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.