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Finding the Third Proportional to 307,326 and 466,525

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Solution

The third proportional to 307,326 and 466,525 is: 708,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,326 : 466,525 = 466,525 : x
  2. Step 2: Convert to fraction form
    307,326/466,525 = 466,525/x
  3. Step 3: Cross multiply
    307,326x = 466,525 × 466,525
  4. Step 4: Simplify right side
    307,326x = 217,645,575,625
  5. Step 5: Solve for x
    x = 217,645,575,625/307,326
  6. Step 6: Final answer
    x = 708,191.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.