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Finding the Third Proportional to 331,502.63 and 706,259.25

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Solution

The third proportional to 331,502.63 and 706,259.25 is: 1,504,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,502.63 : 706,259.25 = 706,259.25 : x
  2. Step 2: Convert to fraction form
    331,502.63/706,259.25 = 706,259.25/x
  3. Step 3: Cross multiply
    331,502.63x = 706,259.25 × 706,259.25
  4. Step 4: Simplify right side
    331,502.63x = 498,802,128,210.56
  5. Step 5: Solve for x
    x = 498,802,128,210.56/331,502.63
  6. Step 6: Final answer
    x = 1,504,670.22

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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.