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Finding the Third Proportional to 289,916 and 461,226

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Solution

The third proportional to 289,916 and 461,226 is: 733,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,916 : 461,226 = 461,226 : x
  2. Step 2: Convert to fraction form
    289,916/461,226 = 461,226/x
  3. Step 3: Cross multiply
    289,916x = 461,226 × 461,226
  4. Step 4: Simplify right side
    289,916x = 212,729,423,076
  5. Step 5: Solve for x
    x = 212,729,423,076/289,916
  6. Step 6: Final answer
    x = 733,762.27

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Why These Related Problems?

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