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Finding the Third Proportional to 350,998.31 and 557,890.03

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Solution

The third proportional to 350,998.31 and 557,890.03 is: 886,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,998.31 : 557,890.03 = 557,890.03 : x
  2. Step 2: Convert to fraction form
    350,998.31/557,890.03 = 557,890.03/x
  3. Step 3: Cross multiply
    350,998.31x = 557,890.03 × 557,890.03
  4. Step 4: Simplify right side
    350,998.31x = 311,241,286,968.13
  5. Step 5: Solve for x
    x = 311,241,286,968.13/350,998.31
  6. Step 6: Final answer
    x = 886,731.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.