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Finding the Third Proportional to 310,003 and 648,045

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Solution

The third proportional to 310,003 and 648,045 is: 1,354,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,003 : 648,045 = 648,045 : x
  2. Step 2: Convert to fraction form
    310,003/648,045 = 648,045/x
  3. Step 3: Cross multiply
    310,003x = 648,045 × 648,045
  4. Step 4: Simplify right side
    310,003x = 419,962,322,025
  5. Step 5: Solve for x
    x = 419,962,322,025/310,003
  6. Step 6: Final answer
    x = 1,354,704.06

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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.