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Finding the Third Proportional to 362,093 and 547,798

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Solution

The third proportional to 362,093 and 547,798 is: 828,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,093 : 547,798 = 547,798 : x
  2. Step 2: Convert to fraction form
    362,093/547,798 = 547,798/x
  3. Step 3: Cross multiply
    362,093x = 547,798 × 547,798
  4. Step 4: Simplify right side
    362,093x = 300,082,648,804
  5. Step 5: Solve for x
    x = 300,082,648,804/362,093
  6. Step 6: Final answer
    x = 828,744.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.