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Finding the Third Proportional to 336,646 and 719,947

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Solution

The third proportional to 336,646 and 719,947 is: 1,539,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,646 : 719,947 = 719,947 : x
  2. Step 2: Convert to fraction form
    336,646/719,947 = 719,947/x
  3. Step 3: Cross multiply
    336,646x = 719,947 × 719,947
  4. Step 4: Simplify right side
    336,646x = 518,323,682,809
  5. Step 5: Solve for x
    x = 518,323,682,809/336,646
  6. Step 6: Final answer
    x = 1,539,669.81

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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.