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Finding the Third Proportional to 509,678 and 809,718

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Solution

The third proportional to 509,678 and 809,718 is: 1,286,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,678 : 809,718 = 809,718 : x
  2. Step 2: Convert to fraction form
    509,678/809,718 = 809,718/x
  3. Step 3: Cross multiply
    509,678x = 809,718 × 809,718
  4. Step 4: Simplify right side
    509,678x = 655,643,239,524
  5. Step 5: Solve for x
    x = 655,643,239,524/509,678
  6. Step 6: Final answer
    x = 1,286,387.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.