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Finding the Third Proportional to 263,996 and 433,389

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Solution

The third proportional to 263,996 and 433,389 is: 711,473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,996 : 433,389 = 433,389 : x
  2. Step 2: Convert to fraction form
    263,996/433,389 = 433,389/x
  3. Step 3: Cross multiply
    263,996x = 433,389 × 433,389
  4. Step 4: Simplify right side
    263,996x = 187,826,025,321
  5. Step 5: Solve for x
    x = 187,826,025,321/263,996
  6. Step 6: Final answer
    x = 711,473.00

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.