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Finding the Third Proportional to 329,556.50 and 719,521

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Solution

The third proportional to 329,556.50 and 719,521 is: 1,570,930.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,556.50 : 719,521 = 719,521 : x
  2. Step 2: Convert to fraction form
    329,556.50/719,521 = 719,521/x
  3. Step 3: Cross multiply
    329,556.50x = 719,521 × 719,521
  4. Step 4: Simplify right side
    329,556.50x = 517,710,469,441
  5. Step 5: Solve for x
    x = 517,710,469,441/329,556.50
  6. Step 6: Final answer
    x = 1,570,930.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.