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Finding the Third Proportional to 325,927.13 and 706,120.88

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Solution

The third proportional to 325,927.13 and 706,120.88 is: 1,529,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,927.13 : 706,120.88 = 706,120.88 : x
  2. Step 2: Convert to fraction form
    325,927.13/706,120.88 = 706,120.88/x
  3. Step 3: Cross multiply
    325,927.13x = 706,120.88 × 706,120.88
  4. Step 4: Simplify right side
    325,927.13x = 498,606,690,110.77
  5. Step 5: Solve for x
    x = 498,606,690,110.77/325,927.13
  6. Step 6: Final answer
    x = 1,529,810.35

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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.