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Finding the Third Proportional to 306,704.25 and 465,574.50

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Solution

The third proportional to 306,704.25 and 465,574.50 is: 706,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,704.25 : 465,574.50 = 465,574.50 : x
  2. Step 2: Convert to fraction form
    306,704.25/465,574.50 = 465,574.50/x
  3. Step 3: Cross multiply
    306,704.25x = 465,574.50 × 465,574.50
  4. Step 4: Simplify right side
    306,704.25x = 216,759,615,050.25
  5. Step 5: Solve for x
    x = 216,759,615,050.25/306,704.25
  6. Step 6: Final answer
    x = 706,738.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.