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Finding the Third Proportional to 563,858 and 814,677

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Solution

The third proportional to 563,858 and 814,677 is: 1,177,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,858 : 814,677 = 814,677 : x
  2. Step 2: Convert to fraction form
    563,858/814,677 = 814,677/x
  3. Step 3: Cross multiply
    563,858x = 814,677 × 814,677
  4. Step 4: Simplify right side
    563,858x = 663,698,614,329
  5. Step 5: Solve for x
    x = 663,698,614,329/563,858
  6. Step 6: Final answer
    x = 1,177,066.95

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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.