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Finding the Third Proportional to 248,224 and 535,806

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Solution

The third proportional to 248,224 and 535,806 is: 1,156,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,224 : 535,806 = 535,806 : x
  2. Step 2: Convert to fraction form
    248,224/535,806 = 535,806/x
  3. Step 3: Cross multiply
    248,224x = 535,806 × 535,806
  4. Step 4: Simplify right side
    248,224x = 287,088,069,636
  5. Step 5: Solve for x
    x = 287,088,069,636/248,224
  6. Step 6: Final answer
    x = 1,156,568.54

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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.