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Finding the Third Proportional to 416,893.50 and 909,063

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Solution

The third proportional to 416,893.50 and 909,063 is: 1,982,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,893.50 : 909,063 = 909,063 : x
  2. Step 2: Convert to fraction form
    416,893.50/909,063 = 909,063/x
  3. Step 3: Cross multiply
    416,893.50x = 909,063 × 909,063
  4. Step 4: Simplify right side
    416,893.50x = 826,395,537,969
  5. Step 5: Solve for x
    x = 826,395,537,969/416,893.50
  6. Step 6: Final answer
    x = 1,982,270.14

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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.