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Finding the Third Proportional to 582,522.75 and 1,205,484.75

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Solution

The third proportional to 582,522.75 and 1,205,484.75 is: 2,494,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,522.75 : 1,205,484.75 = 1,205,484.75 : x
  2. Step 2: Convert to fraction form
    582,522.75/1,205,484.75 = 1,205,484.75/x
  3. Step 3: Cross multiply
    582,522.75x = 1,205,484.75 × 1,205,484.75
  4. Step 4: Simplify right side
    582,522.75x = 1,453,193,482,482.56
  5. Step 5: Solve for x
    x = 1,453,193,482,482.56/582,522.75
  6. Step 6: Final answer
    x = 2,494,655.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.