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Finding the Third Proportional to 563,960 and 873,814

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Solution

The third proportional to 563,960 and 873,814 is: 1,353,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,960 : 873,814 = 873,814 : x
  2. Step 2: Convert to fraction form
    563,960/873,814 = 873,814/x
  3. Step 3: Cross multiply
    563,960x = 873,814 × 873,814
  4. Step 4: Simplify right side
    563,960x = 763,550,906,596
  5. Step 5: Solve for x
    x = 763,550,906,596/563,960
  6. Step 6: Final answer
    x = 1,353,909.69

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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.