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Finding the Third Proportional to 344,538 and 505,122.50

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Solution

The third proportional to 344,538 and 505,122.50 is: 740,553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,538 : 505,122.50 = 505,122.50 : x
  2. Step 2: Convert to fraction form
    344,538/505,122.50 = 505,122.50/x
  3. Step 3: Cross multiply
    344,538x = 505,122.50 × 505,122.50
  4. Step 4: Simplify right side
    344,538x = 255,148,740,006.25
  5. Step 5: Solve for x
    x = 255,148,740,006.25/344,538
  6. Step 6: Final answer
    x = 740,553.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.