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Finding the Third Proportional to 324,126 and 512,826

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Solution

The third proportional to 324,126 and 512,826 is: 811,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,126 : 512,826 = 512,826 : x
  2. Step 2: Convert to fraction form
    324,126/512,826 = 512,826/x
  3. Step 3: Cross multiply
    324,126x = 512,826 × 512,826
  4. Step 4: Simplify right side
    324,126x = 262,990,506,276
  5. Step 5: Solve for x
    x = 262,990,506,276/324,126
  6. Step 6: Final answer
    x = 811,383.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.