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Finding the Third Proportional to 329,980.50 and 633,717

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Solution

The third proportional to 329,980.50 and 633,717 is: 1,217,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,980.50 : 633,717 = 633,717 : x
  2. Step 2: Convert to fraction form
    329,980.50/633,717 = 633,717/x
  3. Step 3: Cross multiply
    329,980.50x = 633,717 × 633,717
  4. Step 4: Simplify right side
    329,980.50x = 401,597,236,089
  5. Step 5: Solve for x
    x = 401,597,236,089/329,980.50
  6. Step 6: Final answer
    x = 1,217,033.24

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.