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Finding the Third Proportional to 306,713 and 465,589

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Solution

The third proportional to 306,713 and 465,589 is: 706,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,713 : 465,589 = 465,589 : x
  2. Step 2: Convert to fraction form
    306,713/465,589 = 465,589/x
  3. Step 3: Cross multiply
    306,713x = 465,589 × 465,589
  4. Step 4: Simplify right side
    306,713x = 216,773,116,921
  5. Step 5: Solve for x
    x = 216,773,116,921/306,713
  6. Step 6: Final answer
    x = 706,762.08

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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.