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Finding the Third Proportional to 285,444 and 621,732

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Solution

The third proportional to 285,444 and 621,732 is: 1,354,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,444 : 621,732 = 621,732 : x
  2. Step 2: Convert to fraction form
    285,444/621,732 = 621,732/x
  3. Step 3: Cross multiply
    285,444x = 621,732 × 621,732
  4. Step 4: Simplify right side
    285,444x = 386,550,679,824
  5. Step 5: Solve for x
    x = 386,550,679,824/285,444
  6. Step 6: Final answer
    x = 1,354,208.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.