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Finding the Third Proportional to 433,577 and 472,244

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Solution

The third proportional to 433,577 and 472,244 is: 514,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,577 : 472,244 = 472,244 : x
  2. Step 2: Convert to fraction form
    433,577/472,244 = 472,244/x
  3. Step 3: Cross multiply
    433,577x = 472,244 × 472,244
  4. Step 4: Simplify right side
    433,577x = 223,014,395,536
  5. Step 5: Solve for x
    x = 223,014,395,536/433,577
  6. Step 6: Final answer
    x = 514,359.38

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.