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Finding the Third Proportional to 519,368 and 782,471

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Solution

The third proportional to 519,368 and 782,471 is: 1,178,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,368 : 782,471 = 782,471 : x
  2. Step 2: Convert to fraction form
    519,368/782,471 = 782,471/x
  3. Step 3: Cross multiply
    519,368x = 782,471 × 782,471
  4. Step 4: Simplify right side
    519,368x = 612,260,865,841
  5. Step 5: Solve for x
    x = 612,260,865,841/519,368
  6. Step 6: Final answer
    x = 1,178,857.51

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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.