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Finding the Third Proportional to 263,426 and 577,026

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Solution

The third proportional to 263,426 and 577,026 is: 1,263,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,426 : 577,026 = 577,026 : x
  2. Step 2: Convert to fraction form
    263,426/577,026 = 577,026/x
  3. Step 3: Cross multiply
    263,426x = 577,026 × 577,026
  4. Step 4: Simplify right side
    263,426x = 332,959,004,676
  5. Step 5: Solve for x
    x = 332,959,004,676/263,426
  6. Step 6: Final answer
    x = 1,263,956.50

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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.