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Finding the Third Proportional to 265,072 and 568,000

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Solution

The third proportional to 265,072 and 568,000 is: 1,217,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,072 : 568,000 = 568,000 : x
  2. Step 2: Convert to fraction form
    265,072/568,000 = 568,000/x
  3. Step 3: Cross multiply
    265,072x = 568,000 × 568,000
  4. Step 4: Simplify right side
    265,072x = 322,624,000,000
  5. Step 5: Solve for x
    x = 322,624,000,000/265,072
  6. Step 6: Final answer
    x = 1,217,118.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.