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Finding the Third Proportional to 344,710 and 720,652

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Solution

The third proportional to 344,710 and 720,652 is: 1,506,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,710 : 720,652 = 720,652 : x
  2. Step 2: Convert to fraction form
    344,710/720,652 = 720,652/x
  3. Step 3: Cross multiply
    344,710x = 720,652 × 720,652
  4. Step 4: Simplify right side
    344,710x = 519,339,305,104
  5. Step 5: Solve for x
    x = 519,339,305,104/344,710
  6. Step 6: Final answer
    x = 1,506,597.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.