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Finding the Third Proportional to 289,738 and 461,031

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Solution

The third proportional to 289,738 and 461,031 is: 733,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,738 : 461,031 = 461,031 : x
  2. Step 2: Convert to fraction form
    289,738/461,031 = 461,031/x
  3. Step 3: Cross multiply
    289,738x = 461,031 × 461,031
  4. Step 4: Simplify right side
    289,738x = 212,549,582,961
  5. Step 5: Solve for x
    x = 212,549,582,961/289,738
  6. Step 6: Final answer
    x = 733,592.36

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.