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Finding the Third Proportional to 404,505 and 898,798.50

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Solution

The third proportional to 404,505 and 898,798.50 is: 1,997,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,505 : 898,798.50 = 898,798.50 : x
  2. Step 2: Convert to fraction form
    404,505/898,798.50 = 898,798.50/x
  3. Step 3: Cross multiply
    404,505x = 898,798.50 × 898,798.50
  4. Step 4: Simplify right side
    404,505x = 807,838,743,602.25
  5. Step 5: Solve for x
    x = 807,838,743,602.25/404,505
  6. Step 6: Final answer
    x = 1,997,104.47

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.