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Finding the Third Proportional to 407,383.75 and 598,589.75

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Solution

The third proportional to 407,383.75 and 598,589.75 is: 879,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,383.75 : 598,589.75 = 598,589.75 : x
  2. Step 2: Convert to fraction form
    407,383.75/598,589.75 = 598,589.75/x
  3. Step 3: Cross multiply
    407,383.75x = 598,589.75 × 598,589.75
  4. Step 4: Simplify right side
    407,383.75x = 358,309,688,805.06
  5. Step 5: Solve for x
    x = 358,309,688,805.06/407,383.75
  6. Step 6: Final answer
    x = 879,538.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.