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Finding the Third Proportional to 503,996 and 779,811

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Solution

The third proportional to 503,996 and 779,811 is: 1,206,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,996 : 779,811 = 779,811 : x
  2. Step 2: Convert to fraction form
    503,996/779,811 = 779,811/x
  3. Step 3: Cross multiply
    503,996x = 779,811 × 779,811
  4. Step 4: Simplify right side
    503,996x = 608,105,195,721
  5. Step 5: Solve for x
    x = 608,105,195,721/503,996
  6. Step 6: Final answer
    x = 1,206,567.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.