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Finding the Third Proportional to 254,212.17 and 393,622.03

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Solution

The third proportional to 254,212.17 and 393,622.03 is: 609,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,212.17 : 393,622.03 = 393,622.03 : x
  2. Step 2: Convert to fraction form
    254,212.17/393,622.03 = 393,622.03/x
  3. Step 3: Cross multiply
    254,212.17x = 393,622.03 × 393,622.03
  4. Step 4: Simplify right side
    254,212.17x = 154,938,303,485.38
  5. Step 5: Solve for x
    x = 154,938,303,485.38/254,212.17
  6. Step 6: Final answer
    x = 609,484.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.