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Finding the Third Proportional to 386,491.50 and 830,124

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Solution

The third proportional to 386,491.50 and 830,124 is: 1,782,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,491.50 : 830,124 = 830,124 : x
  2. Step 2: Convert to fraction form
    386,491.50/830,124 = 830,124/x
  3. Step 3: Cross multiply
    386,491.50x = 830,124 × 830,124
  4. Step 4: Simplify right side
    386,491.50x = 689,105,855,376
  5. Step 5: Solve for x
    x = 689,105,855,376/386,491.50
  6. Step 6: Final answer
    x = 1,782,978.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.