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Finding the Third Proportional to 354,032.44 and 533,987.44

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Solution

The third proportional to 354,032.44 and 533,987.44 is: 805,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,032.44 : 533,987.44 = 533,987.44 : x
  2. Step 2: Convert to fraction form
    354,032.44/533,987.44 = 533,987.44/x
  3. Step 3: Cross multiply
    354,032.44x = 533,987.44 × 533,987.44
  4. Step 4: Simplify right side
    354,032.44x = 285,142,583,407.82
  5. Step 5: Solve for x
    x = 285,142,583,407.82/354,032.44
  6. Step 6: Final answer
    x = 805,413.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.