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Finding the Third Proportional to 350,001.50 and 542,986.50

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Solution

The third proportional to 350,001.50 and 542,986.50 is: 842,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,001.50 : 542,986.50 = 542,986.50 : x
  2. Step 2: Convert to fraction form
    350,001.50/542,986.50 = 542,986.50/x
  3. Step 3: Cross multiply
    350,001.50x = 542,986.50 × 542,986.50
  4. Step 4: Simplify right side
    350,001.50x = 294,834,339,182.25
  5. Step 5: Solve for x
    x = 294,834,339,182.25/350,001.50
  6. Step 6: Final answer
    x = 842,380.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.