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Finding the Third Proportional to 403,354 and 880,064

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Solution

The third proportional to 403,354 and 880,064 is: 1,920,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,354 : 880,064 = 880,064 : x
  2. Step 2: Convert to fraction form
    403,354/880,064 = 880,064/x
  3. Step 3: Cross multiply
    403,354x = 880,064 × 880,064
  4. Step 4: Simplify right side
    403,354x = 774,512,644,096
  5. Step 5: Solve for x
    x = 774,512,644,096/403,354
  6. Step 6: Final answer
    x = 1,920,180.89

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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.