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Finding the Third Proportional to 509,724 and 809,787

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Solution

The third proportional to 509,724 and 809,787 is: 1,286,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,724 : 809,787 = 809,787 : x
  2. Step 2: Convert to fraction form
    509,724/809,787 = 809,787/x
  3. Step 3: Cross multiply
    509,724x = 809,787 × 809,787
  4. Step 4: Simplify right side
    509,724x = 655,754,985,369
  5. Step 5: Solve for x
    x = 655,754,985,369/509,724
  6. Step 6: Final answer
    x = 1,286,490.31

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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.