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Finding the Third Proportional to 563,958 and 873,809

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Solution

The third proportional to 563,958 and 873,809 is: 1,353,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,958 : 873,809 = 873,809 : x
  2. Step 2: Convert to fraction form
    563,958/873,809 = 873,809/x
  3. Step 3: Cross multiply
    563,958x = 873,809 × 873,809
  4. Step 4: Simplify right side
    563,958x = 763,542,168,481
  5. Step 5: Solve for x
    x = 763,542,168,481/563,958
  6. Step 6: Final answer
    x = 1,353,898.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.