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Finding the Third Proportional to 301,309.50 and 656,442

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Solution

The third proportional to 301,309.50 and 656,442 is: 1,430,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,309.50 : 656,442 = 656,442 : x
  2. Step 2: Convert to fraction form
    301,309.50/656,442 = 656,442/x
  3. Step 3: Cross multiply
    301,309.50x = 656,442 × 656,442
  4. Step 4: Simplify right side
    301,309.50x = 430,916,099,364
  5. Step 5: Solve for x
    x = 430,916,099,364/301,309.50
  6. Step 6: Final answer
    x = 1,430,144.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.