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Finding the Third Proportional to 234,954 and 458,076

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Solution

The third proportional to 234,954 and 458,076 is: 893,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,954 : 458,076 = 458,076 : x
  2. Step 2: Convert to fraction form
    234,954/458,076 = 458,076/x
  3. Step 3: Cross multiply
    234,954x = 458,076 × 458,076
  4. Step 4: Simplify right side
    234,954x = 209,833,621,776
  5. Step 5: Solve for x
    x = 209,833,621,776/234,954
  6. Step 6: Final answer
    x = 893,083.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.