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Finding the Third Proportional to 403,362 and 880,080

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Solution

The third proportional to 403,362 and 880,080 is: 1,920,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,362 : 880,080 = 880,080 : x
  2. Step 2: Convert to fraction form
    403,362/880,080 = 880,080/x
  3. Step 3: Cross multiply
    403,362x = 880,080 × 880,080
  4. Step 4: Simplify right side
    403,362x = 774,540,806,400
  5. Step 5: Solve for x
    x = 774,540,806,400/403,362
  6. Step 6: Final answer
    x = 1,920,212.63

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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.