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Finding the Third Proportional to 234,869 and 514,625

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Solution

The third proportional to 234,869 and 514,625 is: 1,127,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,869 : 514,625 = 514,625 : x
  2. Step 2: Convert to fraction form
    234,869/514,625 = 514,625/x
  3. Step 3: Cross multiply
    234,869x = 514,625 × 514,625
  4. Step 4: Simplify right side
    234,869x = 264,838,890,625
  5. Step 5: Solve for x
    x = 264,838,890,625/234,869
  6. Step 6: Final answer
    x = 1,127,602.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.