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Finding the Third Proportional to 251,056 and 536,648

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Solution

The third proportional to 251,056 and 536,648 is: 1,147,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,056 : 536,648 = 536,648 : x
  2. Step 2: Convert to fraction form
    251,056/536,648 = 536,648/x
  3. Step 3: Cross multiply
    251,056x = 536,648 × 536,648
  4. Step 4: Simplify right side
    251,056x = 287,991,075,904
  5. Step 5: Solve for x
    x = 287,991,075,904/251,056
  6. Step 6: Final answer
    x = 1,147,118.87

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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.