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Finding the Third Proportional to 303,564 and 659,614.50

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Solution

The third proportional to 303,564 and 659,614.50 is: 1,433,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,564 : 659,614.50 = 659,614.50 : x
  2. Step 2: Convert to fraction form
    303,564/659,614.50 = 659,614.50/x
  3. Step 3: Cross multiply
    303,564x = 659,614.50 × 659,614.50
  4. Step 4: Simplify right side
    303,564x = 435,091,288,610.25
  5. Step 5: Solve for x
    x = 435,091,288,610.25/303,564
  6. Step 6: Final answer
    x = 1,433,276.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.