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Finding the Third Proportional to 238,824 and 514,944

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Solution

The third proportional to 238,824 and 514,944 is: 1,110,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,824 : 514,944 = 514,944 : x
  2. Step 2: Convert to fraction form
    238,824/514,944 = 514,944/x
  3. Step 3: Cross multiply
    238,824x = 514,944 × 514,944
  4. Step 4: Simplify right side
    238,824x = 265,167,323,136
  5. Step 5: Solve for x
    x = 265,167,323,136/238,824
  6. Step 6: Final answer
    x = 1,110,304.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.