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Finding the Third Proportional to 235,469 and 510,094

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Solution

The third proportional to 235,469 and 510,094 is: 1,105,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,469 : 510,094 = 510,094 : x
  2. Step 2: Convert to fraction form
    235,469/510,094 = 510,094/x
  3. Step 3: Cross multiply
    235,469x = 510,094 × 510,094
  4. Step 4: Simplify right side
    235,469x = 260,195,888,836
  5. Step 5: Solve for x
    x = 260,195,888,836/235,469
  6. Step 6: Final answer
    x = 1,105,011.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.