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Finding the Third Proportional to 201,537 and 439,915

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Solution

The third proportional to 201,537 and 439,915 is: 960,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,537 : 439,915 = 439,915 : x
  2. Step 2: Convert to fraction form
    201,537/439,915 = 439,915/x
  3. Step 3: Cross multiply
    201,537x = 439,915 × 439,915
  4. Step 4: Simplify right side
    201,537x = 193,525,207,225
  5. Step 5: Solve for x
    x = 193,525,207,225/201,537
  6. Step 6: Final answer
    x = 960,246.54

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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.