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Finding the Third Proportional to 268,130.25 and 554,820.75

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Solution

The third proportional to 268,130.25 and 554,820.75 is: 1,148,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,130.25 : 554,820.75 = 554,820.75 : x
  2. Step 2: Convert to fraction form
    268,130.25/554,820.75 = 554,820.75/x
  3. Step 3: Cross multiply
    268,130.25x = 554,820.75 × 554,820.75
  4. Step 4: Simplify right side
    268,130.25x = 307,826,064,630.56
  5. Step 5: Solve for x
    x = 307,826,064,630.56/268,130.25
  6. Step 6: Final answer
    x = 1,148,046.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.