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Finding the Third Proportional to 371,647 and 795,764

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Solution

The third proportional to 371,647 and 795,764 is: 1,703,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,647 : 795,764 = 795,764 : x
  2. Step 2: Convert to fraction form
    371,647/795,764 = 795,764/x
  3. Step 3: Cross multiply
    371,647x = 795,764 × 795,764
  4. Step 4: Simplify right side
    371,647x = 633,240,343,696
  5. Step 5: Solve for x
    x = 633,240,343,696/371,647
  6. Step 6: Final answer
    x = 1,703,875.84

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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.