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Finding the Third Proportional to 340,746 and 534,563

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Solution

The third proportional to 340,746 and 534,563 is: 838,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,746 : 534,563 = 534,563 : x
  2. Step 2: Convert to fraction form
    340,746/534,563 = 534,563/x
  3. Step 3: Cross multiply
    340,746x = 534,563 × 534,563
  4. Step 4: Simplify right side
    340,746x = 285,757,600,969
  5. Step 5: Solve for x
    x = 285,757,600,969/340,746
  6. Step 6: Final answer
    x = 838,623.49

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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.