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Finding the Third Proportional to 411,925.50 and 868,137.75

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Solution

The third proportional to 411,925.50 and 868,137.75 is: 1,829,610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,925.50 : 868,137.75 = 868,137.75 : x
  2. Step 2: Convert to fraction form
    411,925.50/868,137.75 = 868,137.75/x
  3. Step 3: Cross multiply
    411,925.50x = 868,137.75 × 868,137.75
  4. Step 4: Simplify right side
    411,925.50x = 753,663,152,975.06
  5. Step 5: Solve for x
    x = 753,663,152,975.06/411,925.50
  6. Step 6: Final answer
    x = 1,829,610.34

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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.