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Finding the Third Proportional to 453,647.25 and 990,306

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Solution

The third proportional to 453,647.25 and 990,306 is: 2,161,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,647.25 : 990,306 = 990,306 : x
  2. Step 2: Convert to fraction form
    453,647.25/990,306 = 990,306/x
  3. Step 3: Cross multiply
    453,647.25x = 990,306 × 990,306
  4. Step 4: Simplify right side
    453,647.25x = 980,705,973,636
  5. Step 5: Solve for x
    x = 980,705,973,636/453,647.25
  6. Step 6: Final answer
    x = 2,161,825.02

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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.