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Finding the Third Proportional to 307,622 and 646,348

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Solution

The third proportional to 307,622 and 646,348 is: 1,358,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,622 : 646,348 = 646,348 : x
  2. Step 2: Convert to fraction form
    307,622/646,348 = 646,348/x
  3. Step 3: Cross multiply
    307,622x = 646,348 × 646,348
  4. Step 4: Simplify right side
    307,622x = 417,765,737,104
  5. Step 5: Solve for x
    x = 417,765,737,104/307,622
  6. Step 6: Final answer
    x = 1,358,048.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.