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Finding the Third Proportional to 504.88 and 1,089.25

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Solution

The third proportional to 504.88 and 1,089.25 is: 2,350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.88 : 1,089.25 = 1,089.25 : x
  2. Step 2: Convert to fraction form
    504.88/1,089.25 = 1,089.25/x
  3. Step 3: Cross multiply
    504.88x = 1,089.25 × 1,089.25
  4. Step 4: Simplify right side
    504.88x = 1,186,465.56
  5. Step 5: Solve for x
    x = 1,186,465.56/504.88
  6. Step 6: Final answer
    x = 2,350.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.