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Finding the Third Proportional to 254,656 and 555,968

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Solution

The third proportional to 254,656 and 555,968 is: 1,213,795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,656 : 555,968 = 555,968 : x
  2. Step 2: Convert to fraction form
    254,656/555,968 = 555,968/x
  3. Step 3: Cross multiply
    254,656x = 555,968 × 555,968
  4. Step 4: Simplify right side
    254,656x = 309,100,417,024
  5. Step 5: Solve for x
    x = 309,100,417,024/254,656
  6. Step 6: Final answer
    x = 1,213,795.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.