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Finding the Third Proportional to 377,112 and 824,722

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Solution

The third proportional to 377,112 and 824,722 is: 1,803,619.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,112 : 824,722 = 824,722 : x
  2. Step 2: Convert to fraction form
    377,112/824,722 = 824,722/x
  3. Step 3: Cross multiply
    377,112x = 824,722 × 824,722
  4. Step 4: Simplify right side
    377,112x = 680,166,377,284
  5. Step 5: Solve for x
    x = 680,166,377,284/377,112
  6. Step 6: Final answer
    x = 1,803,619.02

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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.