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Finding the Third Proportional to 238,692 and 514,749

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Solution

The third proportional to 238,692 and 514,749 is: 1,110,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,692 : 514,749 = 514,749 : x
  2. Step 2: Convert to fraction form
    238,692/514,749 = 514,749/x
  3. Step 3: Cross multiply
    238,692x = 514,749 × 514,749
  4. Step 4: Simplify right side
    238,692x = 264,966,533,001
  5. Step 5: Solve for x
    x = 264,966,533,001/238,692
  6. Step 6: Final answer
    x = 1,110,077.14

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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.