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Finding the Third Proportional to 345,408 and 742,848

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Solution

The third proportional to 345,408 and 742,848 is: 1,597,598.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,408 : 742,848 = 742,848 : x
  2. Step 2: Convert to fraction form
    345,408/742,848 = 742,848/x
  3. Step 3: Cross multiply
    345,408x = 742,848 × 742,848
  4. Step 4: Simplify right side
    345,408x = 551,823,151,104
  5. Step 5: Solve for x
    x = 551,823,151,104/345,408
  6. Step 6: Final answer
    x = 1,597,598.06

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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.