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Finding the Third Proportional to 235,430 and 514,874

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Solution

The third proportional to 235,430 and 514,874 is: 1,126,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,430 : 514,874 = 514,874 : x
  2. Step 2: Convert to fraction form
    235,430/514,874 = 514,874/x
  3. Step 3: Cross multiply
    235,430x = 514,874 × 514,874
  4. Step 4: Simplify right side
    235,430x = 265,095,235,876
  5. Step 5: Solve for x
    x = 265,095,235,876/235,430
  6. Step 6: Final answer
    x = 1,126,004.48

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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.