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Finding the Third Proportional to 240,453 and 341,779.50

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Solution

The third proportional to 240,453 and 341,779.50 is: 485,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,453 : 341,779.50 = 341,779.50 : x
  2. Step 2: Convert to fraction form
    240,453/341,779.50 = 341,779.50/x
  3. Step 3: Cross multiply
    240,453x = 341,779.50 × 341,779.50
  4. Step 4: Simplify right side
    240,453x = 116,813,226,620.25
  5. Step 5: Solve for x
    x = 116,813,226,620.25/240,453
  6. Step 6: Final answer
    x = 485,804.82

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.