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Finding the Third Proportional to 411,538.50 and 898,488

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Solution

The third proportional to 411,538.50 and 898,488 is: 1,961,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,538.50 : 898,488 = 898,488 : x
  2. Step 2: Convert to fraction form
    411,538.50/898,488 = 898,488/x
  3. Step 3: Cross multiply
    411,538.50x = 898,488 × 898,488
  4. Step 4: Simplify right side
    411,538.50x = 807,280,686,144
  5. Step 5: Solve for x
    x = 807,280,686,144/411,538.50
  6. Step 6: Final answer
    x = 1,961,616.44

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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.