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Finding the Third Proportional to 389,509.25 and 582,707

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Solution

The third proportional to 389,509.25 and 582,707 is: 871,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,509.25 : 582,707 = 582,707 : x
  2. Step 2: Convert to fraction form
    389,509.25/582,707 = 582,707/x
  3. Step 3: Cross multiply
    389,509.25x = 582,707 × 582,707
  4. Step 4: Simplify right side
    389,509.25x = 339,547,447,849
  5. Step 5: Solve for x
    x = 339,547,447,849/389,509.25
  6. Step 6: Final answer
    x = 871,731.41

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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.