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Finding the Third Proportional to 390,995.75 and 856,725.75

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Solution

The third proportional to 390,995.75 and 856,725.75 is: 1,877,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,995.75 : 856,725.75 = 856,725.75 : x
  2. Step 2: Convert to fraction form
    390,995.75/856,725.75 = 856,725.75/x
  3. Step 3: Cross multiply
    390,995.75x = 856,725.75 × 856,725.75
  4. Step 4: Simplify right side
    390,995.75x = 733,979,010,713.06
  5. Step 5: Solve for x
    x = 733,979,010,713.06/390,995.75
  6. Step 6: Final answer
    x = 1,877,204.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.