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Finding the Third Proportional to 344,106 and 743,562

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Solution

The third proportional to 344,106 and 743,562 is: 1,606,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,106 : 743,562 = 743,562 : x
  2. Step 2: Convert to fraction form
    344,106/743,562 = 743,562/x
  3. Step 3: Cross multiply
    344,106x = 743,562 × 743,562
  4. Step 4: Simplify right side
    344,106x = 552,884,447,844
  5. Step 5: Solve for x
    x = 552,884,447,844/344,106
  6. Step 6: Final answer
    x = 1,606,727.14

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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.