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Finding the Third Proportional to 344,706 and 744,750

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Solution

The third proportional to 344,706 and 744,750 is: 1,609,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,706 : 744,750 = 744,750 : x
  2. Step 2: Convert to fraction form
    344,706/744,750 = 744,750/x
  3. Step 3: Cross multiply
    344,706x = 744,750 × 744,750
  4. Step 4: Simplify right side
    344,706x = 554,652,562,500
  5. Step 5: Solve for x
    x = 554,652,562,500/344,706
  6. Step 6: Final answer
    x = 1,609,059.79

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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.