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Finding the Third Proportional to 567,620 and 872,732

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Solution

The third proportional to 567,620 and 872,732 is: 1,341,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,620 : 872,732 = 872,732 : x
  2. Step 2: Convert to fraction form
    567,620/872,732 = 872,732/x
  3. Step 3: Cross multiply
    567,620x = 872,732 × 872,732
  4. Step 4: Simplify right side
    567,620x = 761,661,143,824
  5. Step 5: Solve for x
    x = 761,661,143,824/567,620
  6. Step 6: Final answer
    x = 1,341,850.43

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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.