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Finding the Third Proportional to 344,335 and 743,999

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Solution

The third proportional to 344,335 and 743,999 is: 1,607,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,335 : 743,999 = 743,999 : x
  2. Step 2: Convert to fraction form
    344,335/743,999 = 743,999/x
  3. Step 3: Cross multiply
    344,335x = 743,999 × 743,999
  4. Step 4: Simplify right side
    344,335x = 553,534,512,001
  5. Step 5: Solve for x
    x = 553,534,512,001/344,335
  6. Step 6: Final answer
    x = 1,607,546.46

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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.