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Finding the Third Proportional to 492,644.25 and 1,066,252.50

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Solution

The third proportional to 492,644.25 and 1,066,252.50 is: 2,307,739.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,644.25 : 1,066,252.50 = 1,066,252.50 : x
  2. Step 2: Convert to fraction form
    492,644.25/1,066,252.50 = 1,066,252.50/x
  3. Step 3: Cross multiply
    492,644.25x = 1,066,252.50 × 1,066,252.50
  4. Step 4: Simplify right side
    492,644.25x = 1,136,894,393,756.25
  5. Step 5: Solve for x
    x = 1,136,894,393,756.25/492,644.25
  6. Step 6: Final answer
    x = 2,307,739.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.