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Finding the Third Proportional to 555.50 and 1,209.63

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Solution

The third proportional to 555.50 and 1,209.63 is: 2,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.50 : 1,209.63 = 1,209.63 : x
  2. Step 2: Convert to fraction form
    555.50/1,209.63 = 1,209.63/x
  3. Step 3: Cross multiply
    555.50x = 1,209.63 × 1,209.63
  4. Step 4: Simplify right side
    555.50x = 1,463,192.64
  5. Step 5: Solve for x
    x = 1,463,192.64/555.50
  6. Step 6: Final answer
    x = 2,634.01

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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.