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Finding the Third Proportional to 329,689.13 and 513,795

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Solution

The third proportional to 329,689.13 and 513,795 is: 800,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,689.13 : 513,795 = 513,795 : x
  2. Step 2: Convert to fraction form
    329,689.13/513,795 = 513,795/x
  3. Step 3: Cross multiply
    329,689.13x = 513,795 × 513,795
  4. Step 4: Simplify right side
    329,689.13x = 263,985,302,025
  5. Step 5: Solve for x
    x = 263,985,302,025/329,689.13
  6. Step 6: Final answer
    x = 800,709.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.