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Finding the Third Proportional to 340,731 and 534,579

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Solution

The third proportional to 340,731 and 534,579 is: 838,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,731 : 534,579 = 534,579 : x
  2. Step 2: Convert to fraction form
    340,731/534,579 = 534,579/x
  3. Step 3: Cross multiply
    340,731x = 534,579 × 534,579
  4. Step 4: Simplify right side
    340,731x = 285,774,707,241
  5. Step 5: Solve for x
    x = 285,774,707,241/340,731
  6. Step 6: Final answer
    x = 838,710.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.