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Finding the Third Proportional to 320,926 and 508,605

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Solution

The third proportional to 320,926 and 508,605 is: 806,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,926 : 508,605 = 508,605 : x
  2. Step 2: Convert to fraction form
    320,926/508,605 = 508,605/x
  3. Step 3: Cross multiply
    320,926x = 508,605 × 508,605
  4. Step 4: Simplify right side
    320,926x = 258,679,046,025
  5. Step 5: Solve for x
    x = 258,679,046,025/320,926
  6. Step 6: Final answer
    x = 806,039.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.