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Finding the Third Proportional to 381,706.50 and 829,185

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Solution

The third proportional to 381,706.50 and 829,185 is: 1,801,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,706.50 : 829,185 = 829,185 : x
  2. Step 2: Convert to fraction form
    381,706.50/829,185 = 829,185/x
  3. Step 3: Cross multiply
    381,706.50x = 829,185 × 829,185
  4. Step 4: Simplify right side
    381,706.50x = 687,547,764,225
  5. Step 5: Solve for x
    x = 687,547,764,225/381,706.50
  6. Step 6: Final answer
    x = 1,801,247.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.