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Finding the Third Proportional to 285,120 and 662,980.50

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Solution

The third proportional to 285,120 and 662,980.50 is: 1,541,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,120 : 662,980.50 = 662,980.50 : x
  2. Step 2: Convert to fraction form
    285,120/662,980.50 = 662,980.50/x
  3. Step 3: Cross multiply
    285,120x = 662,980.50 × 662,980.50
  4. Step 4: Simplify right side
    285,120x = 439,543,143,380.25
  5. Step 5: Solve for x
    x = 439,543,143,380.25/285,120
  6. Step 6: Final answer
    x = 1,541,607.55

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.