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Finding the Third Proportional to 201,599 and 433,083

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Solution

The third proportional to 201,599 and 433,083 is: 930,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,599 : 433,083 = 433,083 : x
  2. Step 2: Convert to fraction form
    201,599/433,083 = 433,083/x
  3. Step 3: Cross multiply
    201,599x = 433,083 × 433,083
  4. Step 4: Simplify right side
    201,599x = 187,560,884,889
  5. Step 5: Solve for x
    x = 187,560,884,889/201,599
  6. Step 6: Final answer
    x = 930,366.15

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Why These Related Problems?

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