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Finding the Third Proportional to 354,416.63 and 554,413.50

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Solution

The third proportional to 354,416.63 and 554,413.50 is: 867,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,416.63 : 554,413.50 = 554,413.50 : x
  2. Step 2: Convert to fraction form
    354,416.63/554,413.50 = 554,413.50/x
  3. Step 3: Cross multiply
    354,416.63x = 554,413.50 × 554,413.50
  4. Step 4: Simplify right side
    354,416.63x = 307,374,328,982.25
  5. Step 5: Solve for x
    x = 307,374,328,982.25/354,416.63
  6. Step 6: Final answer
    x = 867,268.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.