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Finding the Third Proportional to 262,492.31 and 552,992.06

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Solution

The third proportional to 262,492.31 and 552,992.06 is: 1,164,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,492.31 : 552,992.06 = 552,992.06 : x
  2. Step 2: Convert to fraction form
    262,492.31/552,992.06 = 552,992.06/x
  3. Step 3: Cross multiply
    262,492.31x = 552,992.06 × 552,992.06
  4. Step 4: Simplify right side
    262,492.31x = 305,800,221,188.00
  5. Step 5: Solve for x
    x = 305,800,221,188.00/262,492.31
  6. Step 6: Final answer
    x = 1,164,987.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.