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Finding the Third Proportional to 263,322 and 576,646

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Solution

The third proportional to 263,322 and 576,646 is: 1,262,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,322 : 576,646 = 576,646 : x
  2. Step 2: Convert to fraction form
    263,322/576,646 = 576,646/x
  3. Step 3: Cross multiply
    263,322x = 576,646 × 576,646
  4. Step 4: Simplify right side
    263,322x = 332,520,609,316
  5. Step 5: Solve for x
    x = 332,520,609,316/263,322
  6. Step 6: Final answer
    x = 1,262,790.84

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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.