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Finding the Third Proportional to 581,964.75 and 873,747

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Solution

The third proportional to 581,964.75 and 873,747 is: 1,311,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,964.75 : 873,747 = 873,747 : x
  2. Step 2: Convert to fraction form
    581,964.75/873,747 = 873,747/x
  3. Step 3: Cross multiply
    581,964.75x = 873,747 × 873,747
  4. Step 4: Simplify right side
    581,964.75x = 763,433,820,009
  5. Step 5: Solve for x
    x = 763,433,820,009/581,964.75
  6. Step 6: Final answer
    x = 1,311,821.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.