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Finding the Third Proportional to 261,378 and 567,006

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Solution

The third proportional to 261,378 and 567,006 is: 1,230,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,378 : 567,006 = 567,006 : x
  2. Step 2: Convert to fraction form
    261,378/567,006 = 567,006/x
  3. Step 3: Cross multiply
    261,378x = 567,006 × 567,006
  4. Step 4: Simplify right side
    261,378x = 321,495,804,036
  5. Step 5: Solve for x
    x = 321,495,804,036/261,378
  6. Step 6: Final answer
    x = 1,230,003.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.