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Finding the Third Proportional to 565,413.75 and 874,378.13

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Solution

The third proportional to 565,413.75 and 874,378.13 is: 1,352,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,413.75 : 874,378.13 = 874,378.13 : x
  2. Step 2: Convert to fraction form
    565,413.75/874,378.13 = 874,378.13/x
  3. Step 3: Cross multiply
    565,413.75x = 874,378.13 × 874,378.13
  4. Step 4: Simplify right side
    565,413.75x = 764,537,105,478.52
  5. Step 5: Solve for x
    x = 764,537,105,478.52/565,413.75
  6. Step 6: Final answer
    x = 1,352,172.82

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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.