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Finding the Third Proportional to 298,083 and 437,620.50

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Solution

The third proportional to 298,083 and 437,620.50 is: 642,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,083 : 437,620.50 = 437,620.50 : x
  2. Step 2: Convert to fraction form
    298,083/437,620.50 = 437,620.50/x
  3. Step 3: Cross multiply
    298,083x = 437,620.50 × 437,620.50
  4. Step 4: Simplify right side
    298,083x = 191,511,702,020.25
  5. Step 5: Solve for x
    x = 191,511,702,020.25/298,083
  6. Step 6: Final answer
    x = 642,477.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.