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Finding the Third Proportional to 563,973 and 873,693

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Solution

The third proportional to 563,973 and 873,693 is: 1,353,503.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,973 : 873,693 = 873,693 : x
  2. Step 2: Convert to fraction form
    563,973/873,693 = 873,693/x
  3. Step 3: Cross multiply
    563,973x = 873,693 × 873,693
  4. Step 4: Simplify right side
    563,973x = 763,339,458,249
  5. Step 5: Solve for x
    x = 763,339,458,249/563,973
  6. Step 6: Final answer
    x = 1,353,503.55

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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.