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Finding the Third Proportional to 265,588 and 406,125

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Solution

The third proportional to 265,588 and 406,125 is: 621,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,588 : 406,125 = 406,125 : x
  2. Step 2: Convert to fraction form
    265,588/406,125 = 406,125/x
  3. Step 3: Cross multiply
    265,588x = 406,125 × 406,125
  4. Step 4: Simplify right side
    265,588x = 164,937,515,625
  5. Step 5: Solve for x
    x = 164,937,515,625/265,588
  6. Step 6: Final answer
    x = 621,027.74

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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.