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Finding the Third Proportional to 337,396 and 509,579

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Solution

The third proportional to 337,396 and 509,579 is: 769,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,396 : 509,579 = 509,579 : x
  2. Step 2: Convert to fraction form
    337,396/509,579 = 509,579/x
  3. Step 3: Cross multiply
    337,396x = 509,579 × 509,579
  4. Step 4: Simplify right side
    337,396x = 259,670,757,241
  5. Step 5: Solve for x
    x = 259,670,757,241/337,396
  6. Step 6: Final answer
    x = 769,632.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.