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Finding the Third Proportional to 325,413 and 706,182.75

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Solution

The third proportional to 325,413 and 706,182.75 is: 1,532,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,413 : 706,182.75 = 706,182.75 : x
  2. Step 2: Convert to fraction form
    325,413/706,182.75 = 706,182.75/x
  3. Step 3: Cross multiply
    325,413x = 706,182.75 × 706,182.75
  4. Step 4: Simplify right side
    325,413x = 498,694,076,397.56
  5. Step 5: Solve for x
    x = 498,694,076,397.56/325,413
  6. Step 6: Final answer
    x = 1,532,495.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.