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Finding the Third Proportional to 510,063 and 713,092

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Solution

The third proportional to 510,063 and 713,092 is: 996,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,063 : 713,092 = 713,092 : x
  2. Step 2: Convert to fraction form
    510,063/713,092 = 713,092/x
  3. Step 3: Cross multiply
    510,063x = 713,092 × 713,092
  4. Step 4: Simplify right side
    510,063x = 508,500,200,464
  5. Step 5: Solve for x
    x = 508,500,200,464/510,063
  6. Step 6: Final answer
    x = 996,936.07

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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.