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Finding the Third Proportional to 301,438 and 466,326

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Solution

The third proportional to 301,438 and 466,326 is: 721,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,438 : 466,326 = 466,326 : x
  2. Step 2: Convert to fraction form
    301,438/466,326 = 466,326/x
  3. Step 3: Cross multiply
    301,438x = 466,326 × 466,326
  4. Step 4: Simplify right side
    301,438x = 217,459,938,276
  5. Step 5: Solve for x
    x = 217,459,938,276/301,438
  6. Step 6: Final answer
    x = 721,408.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.