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Finding the Third Proportional to 376,668 and 805,176

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Solution

The third proportional to 376,668 and 805,176 is: 1,721,166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,668 : 805,176 = 805,176 : x
  2. Step 2: Convert to fraction form
    376,668/805,176 = 805,176/x
  3. Step 3: Cross multiply
    376,668x = 805,176 × 805,176
  4. Step 4: Simplify right side
    376,668x = 648,308,390,976
  5. Step 5: Solve for x
    x = 648,308,390,976/376,668
  6. Step 6: Final answer
    x = 1,721,166.63

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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.