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Finding the Third Proportional to 263,316 and 576,636

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Solution

The third proportional to 263,316 and 576,636 is: 1,262,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,316 : 576,636 = 576,636 : x
  2. Step 2: Convert to fraction form
    263,316/576,636 = 576,636/x
  3. Step 3: Cross multiply
    263,316x = 576,636 × 576,636
  4. Step 4: Simplify right side
    263,316x = 332,509,076,496
  5. Step 5: Solve for x
    x = 332,509,076,496/263,316
  6. Step 6: Final answer
    x = 1,262,775.81

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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.