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Finding the Third Proportional to 595.50 and 1,259.06

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Solution

The third proportional to 595.50 and 1,259.06 is: 2,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.50 : 1,259.06 = 1,259.06 : x
  2. Step 2: Convert to fraction form
    595.50/1,259.06 = 1,259.06/x
  3. Step 3: Cross multiply
    595.50x = 1,259.06 × 1,259.06
  4. Step 4: Simplify right side
    595.50x = 1,585,238.38
  5. Step 5: Solve for x
    x = 1,585,238.38/595.50
  6. Step 6: Final answer
    x = 2,662.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.