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Finding the Third Proportional to 528.63 and 1,127.88

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Solution

The third proportional to 528.63 and 1,127.88 is: 2,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.63 : 1,127.88 = 1,127.88 : x
  2. Step 2: Convert to fraction form
    528.63/1,127.88 = 1,127.88/x
  3. Step 3: Cross multiply
    528.63x = 1,127.88 × 1,127.88
  4. Step 4: Simplify right side
    528.63x = 1,272,102.02
  5. Step 5: Solve for x
    x = 1,272,102.02/528.63
  6. Step 6: Final answer
    x = 2,406.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.