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Finding the Third Proportional to 254,112 and 558,000

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Solution

The third proportional to 254,112 and 558,000 is: 1,225,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,112 : 558,000 = 558,000 : x
  2. Step 2: Convert to fraction form
    254,112/558,000 = 558,000/x
  3. Step 3: Cross multiply
    254,112x = 558,000 × 558,000
  4. Step 4: Simplify right side
    254,112x = 311,364,000,000
  5. Step 5: Solve for x
    x = 311,364,000,000/254,112
  6. Step 6: Final answer
    x = 1,225,302.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.