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Finding the Third Proportional to 297,552 and 645,648

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Solution

The third proportional to 297,552 and 645,648 is: 1,400,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,552 : 645,648 = 645,648 : x
  2. Step 2: Convert to fraction form
    297,552/645,648 = 645,648/x
  3. Step 3: Cross multiply
    297,552x = 645,648 × 645,648
  4. Step 4: Simplify right side
    297,552x = 416,861,339,904
  5. Step 5: Solve for x
    x = 416,861,339,904/297,552
  6. Step 6: Final answer
    x = 1,400,969.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.