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Finding the Third Proportional to 253,433.81 and 589,297.78

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Solution

The third proportional to 253,433.81 and 589,297.78 is: 1,370,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,433.81 : 589,297.78 = 589,297.78 : x
  2. Step 2: Convert to fraction form
    253,433.81/589,297.78 = 589,297.78/x
  3. Step 3: Cross multiply
    253,433.81x = 589,297.78 × 589,297.78
  4. Step 4: Simplify right side
    253,433.81x = 347,271,874,986.17
  5. Step 5: Solve for x
    x = 347,271,874,986.17/253,433.81
  6. Step 6: Final answer
    x = 1,370,266.55

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.