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Finding the Third Proportional to 336,768.75 and 748,273.50

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Solution

The third proportional to 336,768.75 and 748,273.50 is: 1,662,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,768.75 : 748,273.50 = 748,273.50 : x
  2. Step 2: Convert to fraction form
    336,768.75/748,273.50 = 748,273.50/x
  3. Step 3: Cross multiply
    336,768.75x = 748,273.50 × 748,273.50
  4. Step 4: Simplify right side
    336,768.75x = 559,913,230,802.25
  5. Step 5: Solve for x
    x = 559,913,230,802.25/336,768.75
  6. Step 6: Final answer
    x = 1,662,604.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.