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Finding the Third Proportional to 395,720.30 and 805,413.94

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Solution

The third proportional to 395,720.30 and 805,413.94 is: 1,639,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,720.30 : 805,413.94 = 805,413.94 : x
  2. Step 2: Convert to fraction form
    395,720.30/805,413.94 = 805,413.94/x
  3. Step 3: Cross multiply
    395,720.30x = 805,413.94 × 805,413.94
  4. Step 4: Simplify right side
    395,720.30x = 648,691,610,719.25
  5. Step 5: Solve for x
    x = 648,691,610,719.25/395,720.30
  6. Step 6: Final answer
    x = 1,639,267.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.