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Finding the Third Proportional to 264,903.75 and 572,235.75

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Solution

The third proportional to 264,903.75 and 572,235.75 is: 1,236,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,903.75 : 572,235.75 = 572,235.75 : x
  2. Step 2: Convert to fraction form
    264,903.75/572,235.75 = 572,235.75/x
  3. Step 3: Cross multiply
    264,903.75x = 572,235.75 × 572,235.75
  4. Step 4: Simplify right side
    264,903.75x = 327,453,753,578.06
  5. Step 5: Solve for x
    x = 327,453,753,578.06/264,903.75
  6. Step 6: Final answer
    x = 1,236,123.51

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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.