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Finding the Third Proportional to 335,061 and 722,606

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Solution

The third proportional to 335,061 and 722,606 is: 1,558,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,061 : 722,606 = 722,606 : x
  2. Step 2: Convert to fraction form
    335,061/722,606 = 722,606/x
  3. Step 3: Cross multiply
    335,061x = 722,606 × 722,606
  4. Step 4: Simplify right side
    335,061x = 522,159,431,236
  5. Step 5: Solve for x
    x = 522,159,431,236/335,061
  6. Step 6: Final answer
    x = 1,558,401.10

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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.