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Finding the Third Proportional to 371,048 and 794,576

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Solution

The third proportional to 371,048 and 794,576 is: 1,701,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,048 : 794,576 = 794,576 : x
  2. Step 2: Convert to fraction form
    371,048/794,576 = 794,576/x
  3. Step 3: Cross multiply
    371,048x = 794,576 × 794,576
  4. Step 4: Simplify right side
    371,048x = 631,351,019,776
  5. Step 5: Solve for x
    x = 631,351,019,776/371,048
  6. Step 6: Final answer
    x = 1,701,534.63

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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.