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Finding the Third Proportional to 388,948 and 804,856

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Solution

The third proportional to 388,948 and 804,856 is: 1,665,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,948 : 804,856 = 804,856 : x
  2. Step 2: Convert to fraction form
    388,948/804,856 = 804,856/x
  3. Step 3: Cross multiply
    388,948x = 804,856 × 804,856
  4. Step 4: Simplify right side
    388,948x = 647,793,180,736
  5. Step 5: Solve for x
    x = 647,793,180,736/388,948
  6. Step 6: Final answer
    x = 1,665,500.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.