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Finding the Third Proportional to 430,413.75 and 545,734.13

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Solution

The third proportional to 430,413.75 and 545,734.13 is: 691,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,413.75 : 545,734.13 = 545,734.13 : x
  2. Step 2: Convert to fraction form
    430,413.75/545,734.13 = 545,734.13/x
  3. Step 3: Cross multiply
    430,413.75x = 545,734.13 × 545,734.13
  4. Step 4: Simplify right side
    430,413.75x = 297,825,735,189.52
  5. Step 5: Solve for x
    x = 297,825,735,189.52/430,413.75
  6. Step 6: Final answer
    x = 691,952.19

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.