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Finding the Third Proportional to 339,050.81 and 512,946

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Solution

The third proportional to 339,050.81 and 512,946 is: 776,029.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,050.81 : 512,946 = 512,946 : x
  2. Step 2: Convert to fraction form
    339,050.81/512,946 = 512,946/x
  3. Step 3: Cross multiply
    339,050.81x = 512,946 × 512,946
  4. Step 4: Simplify right side
    339,050.81x = 263,113,598,916
  5. Step 5: Solve for x
    x = 263,113,598,916/339,050.81
  6. Step 6: Final answer
    x = 776,029.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.