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Finding the Third Proportional to 261,504 and 414,612

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Solution

The third proportional to 261,504 and 414,612 is: 657,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,504 : 414,612 = 414,612 : x
  2. Step 2: Convert to fraction form
    261,504/414,612 = 414,612/x
  3. Step 3: Cross multiply
    261,504x = 414,612 × 414,612
  4. Step 4: Simplify right side
    261,504x = 171,903,110,544
  5. Step 5: Solve for x
    x = 171,903,110,544/261,504
  6. Step 6: Final answer
    x = 657,363.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.