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Finding the Third Proportional to 405,541.50 and 882,435

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Solution

The third proportional to 405,541.50 and 882,435 is: 1,920,127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,541.50 : 882,435 = 882,435 : x
  2. Step 2: Convert to fraction form
    405,541.50/882,435 = 882,435/x
  3. Step 3: Cross multiply
    405,541.50x = 882,435 × 882,435
  4. Step 4: Simplify right side
    405,541.50x = 778,691,529,225
  5. Step 5: Solve for x
    x = 778,691,529,225/405,541.50
  6. Step 6: Final answer
    x = 1,920,127.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.