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Finding the Third Proportional to 415,173.50 and 863,482

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Solution

The third proportional to 415,173.50 and 863,482 is: 1,795,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,173.50 : 863,482 = 863,482 : x
  2. Step 2: Convert to fraction form
    415,173.50/863,482 = 863,482/x
  3. Step 3: Cross multiply
    415,173.50x = 863,482 × 863,482
  4. Step 4: Simplify right side
    415,173.50x = 745,601,164,324
  5. Step 5: Solve for x
    x = 745,601,164,324/415,173.50
  6. Step 6: Final answer
    x = 1,795,878.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.