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Finding the Third Proportional to 283,413.50 and 438,810.50

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Solution

The third proportional to 283,413.50 and 438,810.50 is: 679,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,413.50 : 438,810.50 = 438,810.50 : x
  2. Step 2: Convert to fraction form
    283,413.50/438,810.50 = 438,810.50/x
  3. Step 3: Cross multiply
    283,413.50x = 438,810.50 × 438,810.50
  4. Step 4: Simplify right side
    283,413.50x = 192,554,654,910.25
  5. Step 5: Solve for x
    x = 192,554,654,910.25/283,413.50
  6. Step 6: Final answer
    x = 679,412.43

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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.