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Finding the Third Proportional to 254,095 and 389,069

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Solution

The third proportional to 254,095 and 389,069 is: 595,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,095 : 389,069 = 389,069 : x
  2. Step 2: Convert to fraction form
    254,095/389,069 = 389,069/x
  3. Step 3: Cross multiply
    254,095x = 389,069 × 389,069
  4. Step 4: Simplify right side
    254,095x = 151,374,686,761
  5. Step 5: Solve for x
    x = 151,374,686,761/254,095
  6. Step 6: Final answer
    x = 595,740.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.