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Finding the Third Proportional to 335,112 and 722,700

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Solution

The third proportional to 335,112 and 722,700 is: 1,558,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,112 : 722,700 = 722,700 : x
  2. Step 2: Convert to fraction form
    335,112/722,700 = 722,700/x
  3. Step 3: Cross multiply
    335,112x = 722,700 × 722,700
  4. Step 4: Simplify right side
    335,112x = 522,295,290,000
  5. Step 5: Solve for x
    x = 522,295,290,000/335,112
  6. Step 6: Final answer
    x = 1,558,569.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.