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Finding the Third Proportional to 345,214 and 738,408

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Solution

The third proportional to 345,214 and 738,408 is: 1,579,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,214 : 738,408 = 738,408 : x
  2. Step 2: Convert to fraction form
    345,214/738,408 = 738,408/x
  3. Step 3: Cross multiply
    345,214x = 738,408 × 738,408
  4. Step 4: Simplify right side
    345,214x = 545,246,374,464
  5. Step 5: Solve for x
    x = 545,246,374,464/345,214
  6. Step 6: Final answer
    x = 1,579,444.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.