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Finding the Third Proportional to 408,944 and 834,580

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Solution

The third proportional to 408,944 and 834,580 is: 1,703,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,944 : 834,580 = 834,580 : x
  2. Step 2: Convert to fraction form
    408,944/834,580 = 834,580/x
  3. Step 3: Cross multiply
    408,944x = 834,580 × 834,580
  4. Step 4: Simplify right side
    408,944x = 696,523,776,400
  5. Step 5: Solve for x
    x = 696,523,776,400/408,944
  6. Step 6: Final answer
    x = 1,703,225.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.