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Finding the Third Proportional to 431,522 and 880,180

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Solution

The third proportional to 431,522 and 880,180 is: 1,795,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,522 : 880,180 = 880,180 : x
  2. Step 2: Convert to fraction form
    431,522/880,180 = 880,180/x
  3. Step 3: Cross multiply
    431,522x = 880,180 × 880,180
  4. Step 4: Simplify right side
    431,522x = 774,716,832,400
  5. Step 5: Solve for x
    x = 774,716,832,400/431,522
  6. Step 6: Final answer
    x = 1,795,312.48

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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.