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Finding the Third Proportional to 247,844 and 374,088

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Solution

The third proportional to 247,844 and 374,088 is: 564,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,844 : 374,088 = 374,088 : x
  2. Step 2: Convert to fraction form
    247,844/374,088 = 374,088/x
  3. Step 3: Cross multiply
    247,844x = 374,088 × 374,088
  4. Step 4: Simplify right side
    247,844x = 139,941,831,744
  5. Step 5: Solve for x
    x = 139,941,831,744/247,844
  6. Step 6: Final answer
    x = 564,636.75

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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.