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Finding the Third Proportional to 341,624 and 542,848

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Solution

The third proportional to 341,624 and 542,848 is: 862,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,624 : 542,848 = 542,848 : x
  2. Step 2: Convert to fraction form
    341,624/542,848 = 542,848/x
  3. Step 3: Cross multiply
    341,624x = 542,848 × 542,848
  4. Step 4: Simplify right side
    341,624x = 294,683,951,104
  5. Step 5: Solve for x
    x = 294,683,951,104/341,624
  6. Step 6: Final answer
    x = 862,597.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.