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Finding the Third Proportional to 347,922 and 741,408

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Solution

The third proportional to 347,922 and 741,408 is: 1,579,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,922 : 741,408 = 741,408 : x
  2. Step 2: Convert to fraction form
    347,922/741,408 = 741,408/x
  3. Step 3: Cross multiply
    347,922x = 741,408 × 741,408
  4. Step 4: Simplify right side
    347,922x = 549,685,822,464
  5. Step 5: Solve for x
    x = 549,685,822,464/347,922
  6. Step 6: Final answer
    x = 1,579,911.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.