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Finding the Third Proportional to 264,141 and 571,353.75

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Solution

The third proportional to 264,141 and 571,353.75 is: 1,235,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,141 : 571,353.75 = 571,353.75 : x
  2. Step 2: Convert to fraction form
    264,141/571,353.75 = 571,353.75/x
  3. Step 3: Cross multiply
    264,141x = 571,353.75 × 571,353.75
  4. Step 4: Simplify right side
    264,141x = 326,445,107,639.06
  5. Step 5: Solve for x
    x = 326,445,107,639.06/264,141
  6. Step 6: Final answer
    x = 1,235,874.43

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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.