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Finding the Third Proportional to 437,058 and 659,583

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Solution

The third proportional to 437,058 and 659,583 is: 995,405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,058 : 659,583 = 659,583 : x
  2. Step 2: Convert to fraction form
    437,058/659,583 = 659,583/x
  3. Step 3: Cross multiply
    437,058x = 659,583 × 659,583
  4. Step 4: Simplify right side
    437,058x = 435,049,733,889
  5. Step 5: Solve for x
    x = 435,049,733,889/437,058
  6. Step 6: Final answer
    x = 995,405.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.