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Finding the Third Proportional to 508,082 and 779,692

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Solution

The third proportional to 508,082 and 779,692 is: 1,196,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,082 : 779,692 = 779,692 : x
  2. Step 2: Convert to fraction form
    508,082/779,692 = 779,692/x
  3. Step 3: Cross multiply
    508,082x = 779,692 × 779,692
  4. Step 4: Simplify right side
    508,082x = 607,919,614,864
  5. Step 5: Solve for x
    x = 607,919,614,864/508,082
  6. Step 6: Final answer
    x = 1,196,499.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.