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Finding the Third Proportional to 263,098 and 372,291

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Solution

The third proportional to 263,098 and 372,291 is: 526,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,098 : 372,291 = 372,291 : x
  2. Step 2: Convert to fraction form
    263,098/372,291 = 372,291/x
  3. Step 3: Cross multiply
    263,098x = 372,291 × 372,291
  4. Step 4: Simplify right side
    263,098x = 138,600,588,681
  5. Step 5: Solve for x
    x = 138,600,588,681/263,098
  6. Step 6: Final answer
    x = 526,802.14

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.