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Finding the Third Proportional to 601,058 and 899,715

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Solution

The third proportional to 601,058 and 899,715 is: 1,346,770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,058 : 899,715 = 899,715 : x
  2. Step 2: Convert to fraction form
    601,058/899,715 = 899,715/x
  3. Step 3: Cross multiply
    601,058x = 899,715 × 899,715
  4. Step 4: Simplify right side
    601,058x = 809,487,081,225
  5. Step 5: Solve for x
    x = 809,487,081,225/601,058
  6. Step 6: Final answer
    x = 1,346,770.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.