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Finding the Third Proportional to 255,440 and 555,096

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Solution

The third proportional to 255,440 and 555,096 is: 1,206,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,440 : 555,096 = 555,096 : x
  2. Step 2: Convert to fraction form
    255,440/555,096 = 555,096/x
  3. Step 3: Cross multiply
    255,440x = 555,096 × 555,096
  4. Step 4: Simplify right side
    255,440x = 308,131,569,216
  5. Step 5: Solve for x
    x = 308,131,569,216/255,440
  6. Step 6: Final answer
    x = 1,206,277.67

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Why These Related Problems?

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