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Finding the Third Proportional to 307,617 and 465,525

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Solution

The third proportional to 307,617 and 465,525 is: 704,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,617 : 465,525 = 465,525 : x
  2. Step 2: Convert to fraction form
    307,617/465,525 = 465,525/x
  3. Step 3: Cross multiply
    307,617x = 465,525 × 465,525
  4. Step 4: Simplify right side
    307,617x = 216,713,525,625
  5. Step 5: Solve for x
    x = 216,713,525,625/307,617
  6. Step 6: Final answer
    x = 704,491.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.