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Finding the Third Proportional to 364,771.13 and 582,727.50

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Solution

The third proportional to 364,771.13 and 582,727.50 is: 930,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,771.13 : 582,727.50 = 582,727.50 : x
  2. Step 2: Convert to fraction form
    364,771.13/582,727.50 = 582,727.50/x
  3. Step 3: Cross multiply
    364,771.13x = 582,727.50 × 582,727.50
  4. Step 4: Simplify right side
    364,771.13x = 339,571,339,256.25
  5. Step 5: Solve for x
    x = 339,571,339,256.25/364,771.13
  6. Step 6: Final answer
    x = 930,916.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.