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Finding the Third Proportional to 433,022 and 623,753

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Solution

The third proportional to 433,022 and 623,753 is: 898,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,022 : 623,753 = 623,753 : x
  2. Step 2: Convert to fraction form
    433,022/623,753 = 623,753/x
  3. Step 3: Cross multiply
    433,022x = 623,753 × 623,753
  4. Step 4: Simplify right side
    433,022x = 389,067,805,009
  5. Step 5: Solve for x
    x = 389,067,805,009/433,022
  6. Step 6: Final answer
    x = 898,494.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.