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Finding the Third Proportional to 268,094 and 575,080

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Solution

The third proportional to 268,094 and 575,080 is: 1,233,586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,094 : 575,080 = 575,080 : x
  2. Step 2: Convert to fraction form
    268,094/575,080 = 575,080/x
  3. Step 3: Cross multiply
    268,094x = 575,080 × 575,080
  4. Step 4: Simplify right side
    268,094x = 330,717,006,400
  5. Step 5: Solve for x
    x = 330,717,006,400/268,094
  6. Step 6: Final answer
    x = 1,233,586.00

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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.