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Finding the Third Proportional to 336,202 and 719,974

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Solution

The third proportional to 336,202 and 719,974 is: 1,541,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,202 : 719,974 = 719,974 : x
  2. Step 2: Convert to fraction form
    336,202/719,974 = 719,974/x
  3. Step 3: Cross multiply
    336,202x = 719,974 × 719,974
  4. Step 4: Simplify right side
    336,202x = 518,362,560,676
  5. Step 5: Solve for x
    x = 518,362,560,676/336,202
  6. Step 6: Final answer
    x = 1,541,818.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.