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Finding the Third Proportional to 248,245 and 535,846

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Solution

The third proportional to 248,245 and 535,846 is: 1,156,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,245 : 535,846 = 535,846 : x
  2. Step 2: Convert to fraction form
    248,245/535,846 = 535,846/x
  3. Step 3: Cross multiply
    248,245x = 535,846 × 535,846
  4. Step 4: Simplify right side
    248,245x = 287,130,935,716
  5. Step 5: Solve for x
    x = 287,130,935,716/248,245
  6. Step 6: Final answer
    x = 1,156,643.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.