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Finding the Third Proportional to 580.88 and 1,271.63

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Solution

The third proportional to 580.88 and 1,271.63 is: 2,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.88 : 1,271.63 = 1,271.63 : x
  2. Step 2: Convert to fraction form
    580.88/1,271.63 = 1,271.63/x
  3. Step 3: Cross multiply
    580.88x = 1,271.63 × 1,271.63
  4. Step 4: Simplify right side
    580.88x = 1,617,030.14
  5. Step 5: Solve for x
    x = 1,617,030.14/580.88
  6. Step 6: Final answer
    x = 2,783.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.