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Finding the Third Proportional to 264,078 and 570,244.50

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Solution

The third proportional to 264,078 and 570,244.50 is: 1,231,374.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,078 : 570,244.50 = 570,244.50 : x
  2. Step 2: Convert to fraction form
    264,078/570,244.50 = 570,244.50/x
  3. Step 3: Cross multiply
    264,078x = 570,244.50 × 570,244.50
  4. Step 4: Simplify right side
    264,078x = 325,178,789,780.25
  5. Step 5: Solve for x
    x = 325,178,789,780.25/264,078
  6. Step 6: Final answer
    x = 1,231,374.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.