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Finding the Third Proportional to 306,664.50 and 716,314.50

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Solution

The third proportional to 306,664.50 and 716,314.50 is: 1,673,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,664.50 : 716,314.50 = 716,314.50 : x
  2. Step 2: Convert to fraction form
    306,664.50/716,314.50 = 716,314.50/x
  3. Step 3: Cross multiply
    306,664.50x = 716,314.50 × 716,314.50
  4. Step 4: Simplify right side
    306,664.50x = 513,106,462,910.25
  5. Step 5: Solve for x
    x = 513,106,462,910.25/306,664.50
  6. Step 6: Final answer
    x = 1,673,185.07

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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.