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Finding the Third Proportional to 411,536.25 and 898,483.50

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Solution

The third proportional to 411,536.25 and 898,483.50 is: 1,961,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,536.25 : 898,483.50 = 898,483.50 : x
  2. Step 2: Convert to fraction form
    411,536.25/898,483.50 = 898,483.50/x
  3. Step 3: Cross multiply
    411,536.25x = 898,483.50 × 898,483.50
  4. Step 4: Simplify right side
    411,536.25x = 807,272,599,772.25
  5. Step 5: Solve for x
    x = 807,272,599,772.25/411,536.25
  6. Step 6: Final answer
    x = 1,961,607.51

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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.