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Finding the Third Proportional to 248,796 and 374,442

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Solution

The third proportional to 248,796 and 374,442 is: 563,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,796 : 374,442 = 374,442 : x
  2. Step 2: Convert to fraction form
    248,796/374,442 = 374,442/x
  3. Step 3: Cross multiply
    248,796x = 374,442 × 374,442
  4. Step 4: Simplify right side
    248,796x = 140,206,811,364
  5. Step 5: Solve for x
    x = 140,206,811,364/248,796
  6. Step 6: Final answer
    x = 563,541.26

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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.