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Finding the Third Proportional to 355,455.84 and 532,637.02

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Solution

The third proportional to 355,455.84 and 532,637.02 is: 798,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,455.84 : 532,637.02 = 532,637.02 : x
  2. Step 2: Convert to fraction form
    355,455.84/532,637.02 = 532,637.02/x
  3. Step 3: Cross multiply
    355,455.84x = 532,637.02 × 532,637.02
  4. Step 4: Simplify right side
    355,455.84x = 283,702,190,413.91
  5. Step 5: Solve for x
    x = 283,702,190,413.91/355,455.84
  6. Step 6: Final answer
    x = 798,136.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.