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Finding the Third Proportional to 527.63 and 1,041.19

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Solution

The third proportional to 527.63 and 1,041.19 is: 2,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.63 : 1,041.19 = 1,041.19 : x
  2. Step 2: Convert to fraction form
    527.63/1,041.19 = 1,041.19/x
  3. Step 3: Cross multiply
    527.63x = 1,041.19 × 1,041.19
  4. Step 4: Simplify right side
    527.63x = 1,084,071.41
  5. Step 5: Solve for x
    x = 1,084,071.41/527.63
  6. Step 6: Final answer
    x = 2,054.62

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.