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Finding the Third Proportional to 201,430 and 438,824

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Solution

The third proportional to 201,430 and 438,824 is: 955,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,430 : 438,824 = 438,824 : x
  2. Step 2: Convert to fraction form
    201,430/438,824 = 438,824/x
  3. Step 3: Cross multiply
    201,430x = 438,824 × 438,824
  4. Step 4: Simplify right side
    201,430x = 192,566,502,976
  5. Step 5: Solve for x
    x = 192,566,502,976/201,430
  6. Step 6: Final answer
    x = 955,997.14

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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.