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Finding the Third Proportional to 328,543.50 and 706,173

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Solution

The third proportional to 328,543.50 and 706,173 is: 1,517,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,543.50 : 706,173 = 706,173 : x
  2. Step 2: Convert to fraction form
    328,543.50/706,173 = 706,173/x
  3. Step 3: Cross multiply
    328,543.50x = 706,173 × 706,173
  4. Step 4: Simplify right side
    328,543.50x = 498,680,305,929
  5. Step 5: Solve for x
    x = 498,680,305,929/328,543.50
  6. Step 6: Final answer
    x = 1,517,851.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.