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Finding the Third Proportional to 519,366 and 782,468

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Solution

The third proportional to 519,366 and 782,468 is: 1,178,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,366 : 782,468 = 782,468 : x
  2. Step 2: Convert to fraction form
    519,366/782,468 = 782,468/x
  3. Step 3: Cross multiply
    519,366x = 782,468 × 782,468
  4. Step 4: Simplify right side
    519,366x = 612,256,171,024
  5. Step 5: Solve for x
    x = 612,256,171,024/519,366
  6. Step 6: Final answer
    x = 1,178,853.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.