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Finding the Third Proportional to 516,576 and 774,834

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Solution

The third proportional to 516,576 and 774,834 is: 1,162,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,576 : 774,834 = 774,834 : x
  2. Step 2: Convert to fraction form
    516,576/774,834 = 774,834/x
  3. Step 3: Cross multiply
    516,576x = 774,834 × 774,834
  4. Step 4: Simplify right side
    516,576x = 600,367,727,556
  5. Step 5: Solve for x
    x = 600,367,727,556/516,576
  6. Step 6: Final answer
    x = 1,162,206.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.