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Finding the Third Proportional to 344,412 and 755,406

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Solution

The third proportional to 344,412 and 755,406 is: 1,656,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,412 : 755,406 = 755,406 : x
  2. Step 2: Convert to fraction form
    344,412/755,406 = 755,406/x
  3. Step 3: Cross multiply
    344,412x = 755,406 × 755,406
  4. Step 4: Simplify right side
    344,412x = 570,638,224,836
  5. Step 5: Solve for x
    x = 570,638,224,836/344,412
  6. Step 6: Final answer
    x = 1,656,847.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.