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Finding the Third Proportional to 371,635 and 560,936

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Solution

The third proportional to 371,635 and 560,936 is: 846,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,635 : 560,936 = 560,936 : x
  2. Step 2: Convert to fraction form
    371,635/560,936 = 560,936/x
  3. Step 3: Cross multiply
    371,635x = 560,936 × 560,936
  4. Step 4: Simplify right side
    371,635x = 314,649,196,096
  5. Step 5: Solve for x
    x = 314,649,196,096/371,635
  6. Step 6: Final answer
    x = 846,661.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.