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Finding the Third Proportional to 407,385 and 598,591.50

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Solution

The third proportional to 407,385 and 598,591.50 is: 879,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,385 : 598,591.50 = 598,591.50 : x
  2. Step 2: Convert to fraction form
    407,385/598,591.50 = 598,591.50/x
  3. Step 3: Cross multiply
    407,385x = 598,591.50 × 598,591.50
  4. Step 4: Simplify right side
    407,385x = 358,311,783,872.25
  5. Step 5: Solve for x
    x = 358,311,783,872.25/407,385
  6. Step 6: Final answer
    x = 879,540.94

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