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Finding the Third Proportional to 362,360.25 and 771,369.75

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Solution

The third proportional to 362,360.25 and 771,369.75 is: 1,642,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,360.25 : 771,369.75 = 771,369.75 : x
  2. Step 2: Convert to fraction form
    362,360.25/771,369.75 = 771,369.75/x
  3. Step 3: Cross multiply
    362,360.25x = 771,369.75 × 771,369.75
  4. Step 4: Simplify right side
    362,360.25x = 595,011,291,215.06
  5. Step 5: Solve for x
    x = 595,011,291,215.06/362,360.25
  6. Step 6: Final answer
    x = 1,642,043.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.