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Finding the Third Proportional to 519,365 and 782,463

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Solution

The third proportional to 519,365 and 782,463 is: 1,178,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,365 : 782,463 = 782,463 : x
  2. Step 2: Convert to fraction form
    519,365/782,463 = 782,463/x
  3. Step 3: Cross multiply
    519,365x = 782,463 × 782,463
  4. Step 4: Simplify right side
    519,365x = 612,248,346,369
  5. Step 5: Solve for x
    x = 612,248,346,369/519,365
  6. Step 6: Final answer
    x = 1,178,840.21

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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.