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Finding the Third Proportional to 371,896 and 812,912

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Solution

The third proportional to 371,896 and 812,912 is: 1,776,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,896 : 812,912 = 812,912 : x
  2. Step 2: Convert to fraction form
    371,896/812,912 = 812,912/x
  3. Step 3: Cross multiply
    371,896x = 812,912 × 812,912
  4. Step 4: Simplify right side
    371,896x = 660,825,919,744
  5. Step 5: Solve for x
    x = 660,825,919,744/371,896
  6. Step 6: Final answer
    x = 1,776,910.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.