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Finding the Third Proportional to 308,325 and 686,719.50

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Solution

The third proportional to 308,325 and 686,719.50 is: 1,529,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,325 : 686,719.50 = 686,719.50 : x
  2. Step 2: Convert to fraction form
    308,325/686,719.50 = 686,719.50/x
  3. Step 3: Cross multiply
    308,325x = 686,719.50 × 686,719.50
  4. Step 4: Simplify right side
    308,325x = 471,583,671,680.25
  5. Step 5: Solve for x
    x = 471,583,671,680.25/308,325
  6. Step 6: Final answer
    x = 1,529,501.89

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.