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Finding the Third Proportional to 365,413.50 and 537,043.50

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Solution

The third proportional to 365,413.50 and 537,043.50 is: 789,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,413.50 : 537,043.50 = 537,043.50 : x
  2. Step 2: Convert to fraction form
    365,413.50/537,043.50 = 537,043.50/x
  3. Step 3: Cross multiply
    365,413.50x = 537,043.50 × 537,043.50
  4. Step 4: Simplify right side
    365,413.50x = 288,415,720,892.25
  5. Step 5: Solve for x
    x = 288,415,720,892.25/365,413.50
  6. Step 6: Final answer
    x = 789,285.89

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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.