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Finding the Third Proportional to 309,165 and 491,798

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Solution

The third proportional to 309,165 and 491,798 is: 782,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,165 : 491,798 = 491,798 : x
  2. Step 2: Convert to fraction form
    309,165/491,798 = 491,798/x
  3. Step 3: Cross multiply
    309,165x = 491,798 × 491,798
  4. Step 4: Simplify right side
    309,165x = 241,865,272,804
  5. Step 5: Solve for x
    x = 241,865,272,804/309,165
  6. Step 6: Final answer
    x = 782,317.77

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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.