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Finding the Third Proportional to 406,796 and 601,886

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Solution

The third proportional to 406,796 and 601,886 is: 890,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,796 : 601,886 = 601,886 : x
  2. Step 2: Convert to fraction form
    406,796/601,886 = 601,886/x
  3. Step 3: Cross multiply
    406,796x = 601,886 × 601,886
  4. Step 4: Simplify right side
    406,796x = 362,266,756,996
  5. Step 5: Solve for x
    x = 362,266,756,996/406,796
  6. Step 6: Final answer
    x = 890,536.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.