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Finding the Third Proportional to 306,824.63 and 656,295.75

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Solution

The third proportional to 306,824.63 and 656,295.75 is: 1,403,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,824.63 : 656,295.75 = 656,295.75 : x
  2. Step 2: Convert to fraction form
    306,824.63/656,295.75 = 656,295.75/x
  3. Step 3: Cross multiply
    306,824.63x = 656,295.75 × 656,295.75
  4. Step 4: Simplify right side
    306,824.63x = 430,724,111,468.06
  5. Step 5: Solve for x
    x = 430,724,111,468.06/306,824.63
  6. Step 6: Final answer
    x = 1,403,812.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.