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Finding the Third Proportional to 395,928.16 and 537,764.93

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Solution

The third proportional to 395,928.16 and 537,764.93 is: 730,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,928.16 : 537,764.93 = 537,764.93 : x
  2. Step 2: Convert to fraction form
    395,928.16/537,764.93 = 537,764.93/x
  3. Step 3: Cross multiply
    395,928.16x = 537,764.93 × 537,764.93
  4. Step 4: Simplify right side
    395,928.16x = 289,191,122,752.78
  5. Step 5: Solve for x
    x = 289,191,122,752.78/395,928.16
  6. Step 6: Final answer
    x = 730,413.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.