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Finding the Third Proportional to 301,971 and 466,968

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Solution

The third proportional to 301,971 and 466,968 is: 722,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,971 : 466,968 = 466,968 : x
  2. Step 2: Convert to fraction form
    301,971/466,968 = 466,968/x
  3. Step 3: Cross multiply
    301,971x = 466,968 × 466,968
  4. Step 4: Simplify right side
    301,971x = 218,059,113,024
  5. Step 5: Solve for x
    x = 218,059,113,024/301,971
  6. Step 6: Final answer
    x = 722,119.39

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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.