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Finding the Third Proportional to 510,059 and 713,086

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Solution

The third proportional to 510,059 and 713,086 is: 996,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,059 : 713,086 = 713,086 : x
  2. Step 2: Convert to fraction form
    510,059/713,086 = 713,086/x
  3. Step 3: Cross multiply
    510,059x = 713,086 × 713,086
  4. Step 4: Simplify right side
    510,059x = 508,491,643,396
  5. Step 5: Solve for x
    x = 508,491,643,396/510,059
  6. Step 6: Final answer
    x = 996,927.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.