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Finding the Third Proportional to 235,734 and 508,848

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Solution

The third proportional to 235,734 and 508,848 is: 1,098,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,734 : 508,848 = 508,848 : x
  2. Step 2: Convert to fraction form
    235,734/508,848 = 508,848/x
  3. Step 3: Cross multiply
    235,734x = 508,848 × 508,848
  4. Step 4: Simplify right side
    235,734x = 258,926,287,104
  5. Step 5: Solve for x
    x = 258,926,287,104/235,734
  6. Step 6: Final answer
    x = 1,098,383.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.