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Finding the Third Proportional to 255,034 and 374,773

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Solution

The third proportional to 255,034 and 374,773 is: 550,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,034 : 374,773 = 374,773 : x
  2. Step 2: Convert to fraction form
    255,034/374,773 = 374,773/x
  3. Step 3: Cross multiply
    255,034x = 374,773 × 374,773
  4. Step 4: Simplify right side
    255,034x = 140,454,801,529
  5. Step 5: Solve for x
    x = 140,454,801,529/255,034
  6. Step 6: Final answer
    x = 550,729.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.