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Finding the Third Proportional to 371,059 and 794,588

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Solution

The third proportional to 371,059 and 794,588 is: 1,701,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,059 : 794,588 = 794,588 : x
  2. Step 2: Convert to fraction form
    371,059/794,588 = 794,588/x
  3. Step 3: Cross multiply
    371,059x = 794,588 × 794,588
  4. Step 4: Simplify right side
    371,059x = 631,370,089,744
  5. Step 5: Solve for x
    x = 631,370,089,744/371,059
  6. Step 6: Final answer
    x = 1,701,535.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.