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Finding the Third Proportional to 344,416 and 741,607

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Solution

The third proportional to 344,416 and 741,607 is: 1,596,850.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,416 : 741,607 = 741,607 : x
  2. Step 2: Convert to fraction form
    344,416/741,607 = 741,607/x
  3. Step 3: Cross multiply
    344,416x = 741,607 × 741,607
  4. Step 4: Simplify right side
    344,416x = 549,980,942,449
  5. Step 5: Solve for x
    x = 549,980,942,449/344,416
  6. Step 6: Final answer
    x = 1,596,850.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.