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Finding the Third Proportional to 235,384 and 512,240

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Solution

The third proportional to 235,384 and 512,240 is: 1,114,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,384 : 512,240 = 512,240 : x
  2. Step 2: Convert to fraction form
    235,384/512,240 = 512,240/x
  3. Step 3: Cross multiply
    235,384x = 512,240 × 512,240
  4. Step 4: Simplify right side
    235,384x = 262,389,817,600
  5. Step 5: Solve for x
    x = 262,389,817,600/235,384
  6. Step 6: Final answer
    x = 1,114,730.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.