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Finding the Third Proportional to 423,601.75 and 916,033.75

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Solution

The third proportional to 423,601.75 and 916,033.75 is: 1,980,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,601.75 : 916,033.75 = 916,033.75 : x
  2. Step 2: Convert to fraction form
    423,601.75/916,033.75 = 916,033.75/x
  3. Step 3: Cross multiply
    423,601.75x = 916,033.75 × 916,033.75
  4. Step 4: Simplify right side
    423,601.75x = 839,117,831,139.06
  5. Step 5: Solve for x
    x = 839,117,831,139.06/423,601.75
  6. Step 6: Final answer
    x = 1,980,912.10

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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.