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Finding the Third Proportional to 403,515 and 608,296.50

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Solution

The third proportional to 403,515 and 608,296.50 is: 917,003.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,515 : 608,296.50 = 608,296.50 : x
  2. Step 2: Convert to fraction form
    403,515/608,296.50 = 608,296.50/x
  3. Step 3: Cross multiply
    403,515x = 608,296.50 × 608,296.50
  4. Step 4: Simplify right side
    403,515x = 370,024,631,912.25
  5. Step 5: Solve for x
    x = 370,024,631,912.25/403,515
  6. Step 6: Final answer
    x = 917,003.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.