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Finding the Third Proportional to 529,805.25 and 756,636.75

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Solution

The third proportional to 529,805.25 and 756,636.75 is: 1,080,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,805.25 : 756,636.75 = 756,636.75 : x
  2. Step 2: Convert to fraction form
    529,805.25/756,636.75 = 756,636.75/x
  3. Step 3: Cross multiply
    529,805.25x = 756,636.75 × 756,636.75
  4. Step 4: Simplify right side
    529,805.25x = 572,499,171,450.56
  5. Step 5: Solve for x
    x = 572,499,171,450.56/529,805.25
  6. Step 6: Final answer
    x = 1,080,584.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.