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Finding the Third Proportional to 235,340 and 515,605

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Solution

The third proportional to 235,340 and 515,605 is: 1,129,635.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,340 : 515,605 = 515,605 : x
  2. Step 2: Convert to fraction form
    235,340/515,605 = 515,605/x
  3. Step 3: Cross multiply
    235,340x = 515,605 × 515,605
  4. Step 4: Simplify right side
    235,340x = 265,848,516,025
  5. Step 5: Solve for x
    x = 265,848,516,025/235,340
  6. Step 6: Final answer
    x = 1,129,635.91

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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.