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Finding the Third Proportional to 403,370 and 880,096

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Solution

The third proportional to 403,370 and 880,096 is: 1,920,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,370 : 880,096 = 880,096 : x
  2. Step 2: Convert to fraction form
    403,370/880,096 = 880,096/x
  3. Step 3: Cross multiply
    403,370x = 880,096 × 880,096
  4. Step 4: Simplify right side
    403,370x = 774,568,969,216
  5. Step 5: Solve for x
    x = 774,568,969,216/403,370
  6. Step 6: Final answer
    x = 1,920,244.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.