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Finding the Third Proportional to 344,709 and 744,759

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Solution

The third proportional to 344,709 and 744,759 is: 1,609,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,709 : 744,759 = 744,759 : x
  2. Step 2: Convert to fraction form
    344,709/744,759 = 744,759/x
  3. Step 3: Cross multiply
    344,709x = 744,759 × 744,759
  4. Step 4: Simplify right side
    344,709x = 554,665,968,081
  5. Step 5: Solve for x
    x = 554,665,968,081/344,709
  6. Step 6: Final answer
    x = 1,609,084.67

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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.