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Finding the Third Proportional to 437,601 and 589,916

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Solution

The third proportional to 437,601 and 589,916 is: 795,247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,601 : 589,916 = 589,916 : x
  2. Step 2: Convert to fraction form
    437,601/589,916 = 589,916/x
  3. Step 3: Cross multiply
    437,601x = 589,916 × 589,916
  4. Step 4: Simplify right side
    437,601x = 348,000,887,056
  5. Step 5: Solve for x
    x = 348,000,887,056/437,601
  6. Step 6: Final answer
    x = 795,247.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.