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Finding the Third Proportional to 329,698.50 and 513,808.50

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Solution

The third proportional to 329,698.50 and 513,808.50 is: 800,729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,698.50 : 513,808.50 = 513,808.50 : x
  2. Step 2: Convert to fraction form
    329,698.50/513,808.50 = 513,808.50/x
  3. Step 3: Cross multiply
    329,698.50x = 513,808.50 × 513,808.50
  4. Step 4: Simplify right side
    329,698.50x = 263,999,174,672.25
  5. Step 5: Solve for x
    x = 263,999,174,672.25/329,698.50
  6. Step 6: Final answer
    x = 800,729.07

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