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Finding the Third Proportional to 254,044 and 536,600

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Solution

The third proportional to 254,044 and 536,600 is: 1,133,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,044 : 536,600 = 536,600 : x
  2. Step 2: Convert to fraction form
    254,044/536,600 = 536,600/x
  3. Step 3: Cross multiply
    254,044x = 536,600 × 536,600
  4. Step 4: Simplify right side
    254,044x = 287,939,560,000
  5. Step 5: Solve for x
    x = 287,939,560,000/254,044
  6. Step 6: Final answer
    x = 1,133,423.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.