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Finding the Third Proportional to 254,706 and 546,994

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Solution

The third proportional to 254,706 and 546,994 is: 1,174,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,706 : 546,994 = 546,994 : x
  2. Step 2: Convert to fraction form
    254,706/546,994 = 546,994/x
  3. Step 3: Cross multiply
    254,706x = 546,994 × 546,994
  4. Step 4: Simplify right side
    254,706x = 299,202,436,036
  5. Step 5: Solve for x
    x = 299,202,436,036/254,706
  6. Step 6: Final answer
    x = 1,174,697.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.