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Finding the Third Proportional to 247,324 and 459,296

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Solution

The third proportional to 247,324 and 459,296 is: 852,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,324 : 459,296 = 459,296 : x
  2. Step 2: Convert to fraction form
    247,324/459,296 = 459,296/x
  3. Step 3: Cross multiply
    247,324x = 459,296 × 459,296
  4. Step 4: Simplify right side
    247,324x = 210,952,815,616
  5. Step 5: Solve for x
    x = 210,952,815,616/247,324
  6. Step 6: Final answer
    x = 852,941.14

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.