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Finding the Third Proportional to 174,989 and 374,763

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Solution

The third proportional to 174,989 and 374,763 is: 802,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,989 : 374,763 = 374,763 : x
  2. Step 2: Convert to fraction form
    174,989/374,763 = 374,763/x
  3. Step 3: Cross multiply
    174,989x = 374,763 × 374,763
  4. Step 4: Simplify right side
    174,989x = 140,447,306,169
  5. Step 5: Solve for x
    x = 140,447,306,169/174,989
  6. Step 6: Final answer
    x = 802,606.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.