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Finding the Third Proportional to 411,927.50 and 868,142

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Solution

The third proportional to 411,927.50 and 868,142 is: 1,829,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,927.50 : 868,142 = 868,142 : x
  2. Step 2: Convert to fraction form
    411,927.50/868,142 = 868,142/x
  3. Step 3: Cross multiply
    411,927.50x = 868,142 × 868,142
  4. Step 4: Simplify right side
    411,927.50x = 753,670,532,164
  5. Step 5: Solve for x
    x = 753,670,532,164/411,927.50
  6. Step 6: Final answer
    x = 1,829,619.37

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.