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Finding the Third Proportional to 264,786 and 567,476

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Solution

The third proportional to 264,786 and 567,476 is: 1,216,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,786 : 567,476 = 567,476 : x
  2. Step 2: Convert to fraction form
    264,786/567,476 = 567,476/x
  3. Step 3: Cross multiply
    264,786x = 567,476 × 567,476
  4. Step 4: Simplify right side
    264,786x = 322,029,010,576
  5. Step 5: Solve for x
    x = 322,029,010,576/264,786
  6. Step 6: Final answer
    x = 1,216,185.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.