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Finding the Third Proportional to 306,659 and 465,525

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Solution

The third proportional to 306,659 and 465,525 is: 706,692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,659 : 465,525 = 465,525 : x
  2. Step 2: Convert to fraction form
    306,659/465,525 = 465,525/x
  3. Step 3: Cross multiply
    306,659x = 465,525 × 465,525
  4. Step 4: Simplify right side
    306,659x = 216,713,525,625
  5. Step 5: Solve for x
    x = 216,713,525,625/306,659
  6. Step 6: Final answer
    x = 706,692.21

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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.