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Finding the Third Proportional to 201,795 and 438,582

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Solution

The third proportional to 201,795 and 438,582 is: 953,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,795 : 438,582 = 438,582 : x
  2. Step 2: Convert to fraction form
    201,795/438,582 = 438,582/x
  3. Step 3: Cross multiply
    201,795x = 438,582 × 438,582
  4. Step 4: Simplify right side
    201,795x = 192,354,170,724
  5. Step 5: Solve for x
    x = 192,354,170,724/201,795
  6. Step 6: Final answer
    x = 953,215.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.