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Finding the Third Proportional to 406,952 and 622,524

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Solution

The third proportional to 406,952 and 622,524 is: 952,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,952 : 622,524 = 622,524 : x
  2. Step 2: Convert to fraction form
    406,952/622,524 = 622,524/x
  3. Step 3: Cross multiply
    406,952x = 622,524 × 622,524
  4. Step 4: Simplify right side
    406,952x = 387,536,130,576
  5. Step 5: Solve for x
    x = 387,536,130,576/406,952
  6. Step 6: Final answer
    x = 952,289.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.