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Finding the Third Proportional to 344,949.75 and 754,024.50

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Solution

The third proportional to 344,949.75 and 754,024.50 is: 1,648,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,949.75 : 754,024.50 = 754,024.50 : x
  2. Step 2: Convert to fraction form
    344,949.75/754,024.50 = 754,024.50/x
  3. Step 3: Cross multiply
    344,949.75x = 754,024.50 × 754,024.50
  4. Step 4: Simplify right side
    344,949.75x = 568,552,946,600.25
  5. Step 5: Solve for x
    x = 568,552,946,600.25/344,949.75
  6. Step 6: Final answer
    x = 1,648,219.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.