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Finding the Third Proportional to 250,612.50 and 584,783.50

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Solution

The third proportional to 250,612.50 and 584,783.50 is: 1,364,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,612.50 : 584,783.50 = 584,783.50 : x
  2. Step 2: Convert to fraction form
    250,612.50/584,783.50 = 584,783.50/x
  3. Step 3: Cross multiply
    250,612.50x = 584,783.50 × 584,783.50
  4. Step 4: Simplify right side
    250,612.50x = 341,971,741,872.25
  5. Step 5: Solve for x
    x = 341,971,741,872.25/250,612.50
  6. Step 6: Final answer
    x = 1,364,543.84

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.