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Finding the Third Proportional to 306,700 and 465,568

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Solution

The third proportional to 306,700 and 465,568 is: 706,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,700 : 465,568 = 465,568 : x
  2. Step 2: Convert to fraction form
    306,700/465,568 = 465,568/x
  3. Step 3: Cross multiply
    306,700x = 465,568 × 465,568
  4. Step 4: Simplify right side
    306,700x = 216,753,562,624
  5. Step 5: Solve for x
    x = 216,753,562,624/306,700
  6. Step 6: Final answer
    x = 706,728.28

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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.