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Finding the Third Proportional to 255,148 and 558,936

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Solution

The third proportional to 255,148 and 558,936 is: 1,224,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,148 : 558,936 = 558,936 : x
  2. Step 2: Convert to fraction form
    255,148/558,936 = 558,936/x
  3. Step 3: Cross multiply
    255,148x = 558,936 × 558,936
  4. Step 4: Simplify right side
    255,148x = 312,409,452,096
  5. Step 5: Solve for x
    x = 312,409,452,096/255,148
  6. Step 6: Final answer
    x = 1,224,424.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.