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Finding the Third Proportional to 527.88 and 1,055.38

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Solution

The third proportional to 527.88 and 1,055.38 is: 2,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.88 : 1,055.38 = 1,055.38 : x
  2. Step 2: Convert to fraction form
    527.88/1,055.38 = 1,055.38/x
  3. Step 3: Cross multiply
    527.88x = 1,055.38 × 1,055.38
  4. Step 4: Simplify right side
    527.88x = 1,113,816.39
  5. Step 5: Solve for x
    x = 1,113,816.39/527.88
  6. Step 6: Final answer
    x = 2,110.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.