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Finding the Third Proportional to 623,182.25 and 1,017,500

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Solution

The third proportional to 623,182.25 and 1,017,500 is: 1,661,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,182.25 : 1,017,500 = 1,017,500 : x
  2. Step 2: Convert to fraction form
    623,182.25/1,017,500 = 1,017,500/x
  3. Step 3: Cross multiply
    623,182.25x = 1,017,500 × 1,017,500
  4. Step 4: Simplify right side
    623,182.25x = 1,035,306,250,000
  5. Step 5: Solve for x
    x = 1,035,306,250,000/623,182.25
  6. Step 6: Final answer
    x = 1,661,321.79

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.