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Finding the Third Proportional to 310,006 and 648,051

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Solution

The third proportional to 310,006 and 648,051 is: 1,354,716.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,006 : 648,051 = 648,051 : x
  2. Step 2: Convert to fraction form
    310,006/648,051 = 648,051/x
  3. Step 3: Cross multiply
    310,006x = 648,051 × 648,051
  4. Step 4: Simplify right side
    310,006x = 419,970,098,601
  5. Step 5: Solve for x
    x = 419,970,098,601/310,006
  6. Step 6: Final answer
    x = 1,354,716.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.