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Finding the Third Proportional to 567,628 and 872,744

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Solution

The third proportional to 567,628 and 872,744 is: 1,341,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,628 : 872,744 = 872,744 : x
  2. Step 2: Convert to fraction form
    567,628/872,744 = 872,744/x
  3. Step 3: Cross multiply
    567,628x = 872,744 × 872,744
  4. Step 4: Simplify right side
    567,628x = 761,682,089,536
  5. Step 5: Solve for x
    x = 761,682,089,536/567,628
  6. Step 6: Final answer
    x = 1,341,868.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.