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Finding the Third Proportional to 306,708.75 and 465,581.25

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Solution

The third proportional to 306,708.75 and 465,581.25 is: 706,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,708.75 : 465,581.25 = 465,581.25 : x
  2. Step 2: Convert to fraction form
    306,708.75/465,581.25 = 465,581.25/x
  3. Step 3: Cross multiply
    306,708.75x = 465,581.25 × 465,581.25
  4. Step 4: Simplify right side
    306,708.75x = 216,765,900,351.56
  5. Step 5: Solve for x
    x = 216,765,900,351.56/306,708.75
  6. Step 6: Final answer
    x = 706,748.34

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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.