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Finding the Third Proportional to 312,426 and 647,007

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Solution

The third proportional to 312,426 and 647,007 is: 1,339,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,426 : 647,007 = 647,007 : x
  2. Step 2: Convert to fraction form
    312,426/647,007 = 647,007/x
  3. Step 3: Cross multiply
    312,426x = 647,007 × 647,007
  4. Step 4: Simplify right side
    312,426x = 418,618,058,049
  5. Step 5: Solve for x
    x = 418,618,058,049/312,426
  6. Step 6: Final answer
    x = 1,339,895.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.