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Finding the Third Proportional to 335,082 and 722,652

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Solution

The third proportional to 335,082 and 722,652 is: 1,558,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,082 : 722,652 = 722,652 : x
  2. Step 2: Convert to fraction form
    335,082/722,652 = 722,652/x
  3. Step 3: Cross multiply
    335,082x = 722,652 × 722,652
  4. Step 4: Simplify right side
    335,082x = 522,225,913,104
  5. Step 5: Solve for x
    x = 522,225,913,104/335,082
  6. Step 6: Final answer
    x = 1,558,501.84

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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.