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Finding the Third Proportional to 415,238 and 650,525

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Solution

The third proportional to 415,238 and 650,525 is: 1,019,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,238 : 650,525 = 650,525 : x
  2. Step 2: Convert to fraction form
    415,238/650,525 = 650,525/x
  3. Step 3: Cross multiply
    415,238x = 650,525 × 650,525
  4. Step 4: Simplify right side
    415,238x = 423,182,775,625
  5. Step 5: Solve for x
    x = 423,182,775,625/415,238
  6. Step 6: Final answer
    x = 1,019,133.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.