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Finding the Third Proportional to 280,017 and 601,566.75

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Solution

The third proportional to 280,017 and 601,566.75 is: 1,292,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,017 : 601,566.75 = 601,566.75 : x
  2. Step 2: Convert to fraction form
    280,017/601,566.75 = 601,566.75/x
  3. Step 3: Cross multiply
    280,017x = 601,566.75 × 601,566.75
  4. Step 4: Simplify right side
    280,017x = 361,882,554,705.56
  5. Step 5: Solve for x
    x = 361,882,554,705.56/280,017
  6. Step 6: Final answer
    x = 1,292,359.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.