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Finding the Third Proportional to 467,824 and 723,786

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Solution

The third proportional to 467,824 and 723,786 is: 1,119,793.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,824 : 723,786 = 723,786 : x
  2. Step 2: Convert to fraction form
    467,824/723,786 = 723,786/x
  3. Step 3: Cross multiply
    467,824x = 723,786 × 723,786
  4. Step 4: Simplify right side
    467,824x = 523,866,173,796
  5. Step 5: Solve for x
    x = 523,866,173,796/467,824
  6. Step 6: Final answer
    x = 1,119,793.29

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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.