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Finding the Third Proportional to 252,530.16 and 552,536.44

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Solution

The third proportional to 252,530.16 and 552,536.44 is: 1,208,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,530.16 : 552,536.44 = 552,536.44 : x
  2. Step 2: Convert to fraction form
    252,530.16/552,536.44 = 552,536.44/x
  3. Step 3: Cross multiply
    252,530.16x = 552,536.44 × 552,536.44
  4. Step 4: Simplify right side
    252,530.16x = 305,296,514,765.19
  5. Step 5: Solve for x
    x = 305,296,514,765.19/252,530.16
  6. Step 6: Final answer
    x = 1,208,950.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.