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Finding the Third Proportional to 405,567 and 863,541

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Solution

The third proportional to 405,567 and 863,541 is: 1,838,667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,567 : 863,541 = 863,541 : x
  2. Step 2: Convert to fraction form
    405,567/863,541 = 863,541/x
  3. Step 3: Cross multiply
    405,567x = 863,541 × 863,541
  4. Step 4: Simplify right side
    405,567x = 745,703,058,681
  5. Step 5: Solve for x
    x = 745,703,058,681/405,567
  6. Step 6: Final answer
    x = 1,838,667.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.