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Finding the Third Proportional to 411,543 and 898,495.50

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Solution

The third proportional to 411,543 and 898,495.50 is: 1,961,627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,543 : 898,495.50 = 898,495.50 : x
  2. Step 2: Convert to fraction form
    411,543/898,495.50 = 898,495.50/x
  3. Step 3: Cross multiply
    411,543x = 898,495.50 × 898,495.50
  4. Step 4: Simplify right side
    411,543x = 807,294,163,520.25
  5. Step 5: Solve for x
    x = 807,294,163,520.25/411,543
  6. Step 6: Final answer
    x = 1,961,627.74

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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.