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Finding the Third Proportional to 306,109.25 and 714,816.50

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Solution

The third proportional to 306,109.25 and 714,816.50 is: 1,669,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,109.25 : 714,816.50 = 714,816.50 : x
  2. Step 2: Convert to fraction form
    306,109.25/714,816.50 = 714,816.50/x
  3. Step 3: Cross multiply
    306,109.25x = 714,816.50 × 714,816.50
  4. Step 4: Simplify right side
    306,109.25x = 510,962,628,672.25
  5. Step 5: Solve for x
    x = 510,962,628,672.25/306,109.25
  6. Step 6: Final answer
    x = 1,669,216.56

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.