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Finding the Third Proportional to 201,294 and 438,758

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Solution

The third proportional to 201,294 and 438,758 is: 956,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,294 : 438,758 = 438,758 : x
  2. Step 2: Convert to fraction form
    201,294/438,758 = 438,758/x
  3. Step 3: Cross multiply
    201,294x = 438,758 × 438,758
  4. Step 4: Simplify right side
    201,294x = 192,508,582,564
  5. Step 5: Solve for x
    x = 192,508,582,564/201,294
  6. Step 6: Final answer
    x = 956,355.29

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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.