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Finding the Third Proportional to 289,056 and 410,834

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Solution

The third proportional to 289,056 and 410,834 is: 583,916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,056 : 410,834 = 410,834 : x
  2. Step 2: Convert to fraction form
    289,056/410,834 = 410,834/x
  3. Step 3: Cross multiply
    289,056x = 410,834 × 410,834
  4. Step 4: Simplify right side
    289,056x = 168,784,575,556
  5. Step 5: Solve for x
    x = 168,784,575,556/289,056
  6. Step 6: Final answer
    x = 583,916.53

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Why These Related Problems?

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