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Finding the Third Proportional to 324,114 and 512,810

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Solution

The third proportional to 324,114 and 512,810 is: 811,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,114 : 512,810 = 512,810 : x
  2. Step 2: Convert to fraction form
    324,114/512,810 = 512,810/x
  3. Step 3: Cross multiply
    324,114x = 512,810 × 512,810
  4. Step 4: Simplify right side
    324,114x = 262,974,096,100
  5. Step 5: Solve for x
    x = 262,974,096,100/324,114
  6. Step 6: Final answer
    x = 811,362.97

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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.