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Finding the Third Proportional to 406,467 and 571,887

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Solution

The third proportional to 406,467 and 571,887 is: 804,628.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,467 : 571,887 = 571,887 : x
  2. Step 2: Convert to fraction form
    406,467/571,887 = 571,887/x
  3. Step 3: Cross multiply
    406,467x = 571,887 × 571,887
  4. Step 4: Simplify right side
    406,467x = 327,054,740,769
  5. Step 5: Solve for x
    x = 327,054,740,769/406,467
  6. Step 6: Final answer
    x = 804,628.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.