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Finding the Third Proportional to 582,639.75 and 1,271,196

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Solution

The third proportional to 582,639.75 and 1,271,196 is: 2,773,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,639.75 : 1,271,196 = 1,271,196 : x
  2. Step 2: Convert to fraction form
    582,639.75/1,271,196 = 1,271,196/x
  3. Step 3: Cross multiply
    582,639.75x = 1,271,196 × 1,271,196
  4. Step 4: Simplify right side
    582,639.75x = 1,615,939,270,416
  5. Step 5: Solve for x
    x = 1,615,939,270,416/582,639.75
  6. Step 6: Final answer
    x = 2,773,479.27

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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.