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Finding the Third Proportional to 563,859.50 and 814,679

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Solution

The third proportional to 563,859.50 and 814,679 is: 1,177,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,859.50 : 814,679 = 814,679 : x
  2. Step 2: Convert to fraction form
    563,859.50/814,679 = 814,679/x
  3. Step 3: Cross multiply
    563,859.50x = 814,679 × 814,679
  4. Step 4: Simplify right side
    563,859.50x = 663,701,873,041
  5. Step 5: Solve for x
    x = 663,701,873,041/563,859.50
  6. Step 6: Final answer
    x = 1,177,069.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.