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Finding the Third Proportional to 252,008 and 406,044

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Solution

The third proportional to 252,008 and 406,044 is: 654,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,008 : 406,044 = 406,044 : x
  2. Step 2: Convert to fraction form
    252,008/406,044 = 406,044/x
  3. Step 3: Cross multiply
    252,008x = 406,044 × 406,044
  4. Step 4: Simplify right side
    252,008x = 164,871,729,936
  5. Step 5: Solve for x
    x = 164,871,729,936/252,008
  6. Step 6: Final answer
    x = 654,232.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.