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Finding the Third Proportional to 242,039 and 526,056

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Solution

The third proportional to 242,039 and 526,056 is: 1,143,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,039 : 526,056 = 526,056 : x
  2. Step 2: Convert to fraction form
    242,039/526,056 = 526,056/x
  3. Step 3: Cross multiply
    242,039x = 526,056 × 526,056
  4. Step 4: Simplify right side
    242,039x = 276,734,915,136
  5. Step 5: Solve for x
    x = 276,734,915,136/242,039
  6. Step 6: Final answer
    x = 1,143,348.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.