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Finding the Third Proportional to 385,148 and 794,836

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Solution

The third proportional to 385,148 and 794,836 is: 1,640,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,148 : 794,836 = 794,836 : x
  2. Step 2: Convert to fraction form
    385,148/794,836 = 794,836/x
  3. Step 3: Cross multiply
    385,148x = 794,836 × 794,836
  4. Step 4: Simplify right side
    385,148x = 631,764,266,896
  5. Step 5: Solve for x
    x = 631,764,266,896/385,148
  6. Step 6: Final answer
    x = 1,640,315.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.