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Finding the Third Proportional to 344,332 and 743,992

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Solution

The third proportional to 344,332 and 743,992 is: 1,607,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,332 : 743,992 = 743,992 : x
  2. Step 2: Convert to fraction form
    344,332/743,992 = 743,992/x
  3. Step 3: Cross multiply
    344,332x = 743,992 × 743,992
  4. Step 4: Simplify right side
    344,332x = 553,524,096,064
  5. Step 5: Solve for x
    x = 553,524,096,064/344,332
  6. Step 6: Final answer
    x = 1,607,530.22

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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.