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Finding the Third Proportional to 563,969 and 873,687

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Solution

The third proportional to 563,969 and 873,687 is: 1,353,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,969 : 873,687 = 873,687 : x
  2. Step 2: Convert to fraction form
    563,969/873,687 = 873,687/x
  3. Step 3: Cross multiply
    563,969x = 873,687 × 873,687
  4. Step 4: Simplify right side
    563,969x = 763,328,973,969
  5. Step 5: Solve for x
    x = 763,328,973,969/563,969
  6. Step 6: Final answer
    x = 1,353,494.56

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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.