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Finding the Third Proportional to 201,574 and 439,436

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Solution

The third proportional to 201,574 and 439,436 is: 957,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,574 : 439,436 = 439,436 : x
  2. Step 2: Convert to fraction form
    201,574/439,436 = 439,436/x
  3. Step 3: Cross multiply
    201,574x = 439,436 × 439,436
  4. Step 4: Simplify right side
    201,574x = 193,103,998,096
  5. Step 5: Solve for x
    x = 193,103,998,096/201,574
  6. Step 6: Final answer
    x = 957,980.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.