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Finding the Third Proportional to 324,520 and 712,976

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Solution

The third proportional to 324,520 and 712,976 is: 1,566,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,520 : 712,976 = 712,976 : x
  2. Step 2: Convert to fraction form
    324,520/712,976 = 712,976/x
  3. Step 3: Cross multiply
    324,520x = 712,976 × 712,976
  4. Step 4: Simplify right side
    324,520x = 508,334,776,576
  5. Step 5: Solve for x
    x = 508,334,776,576/324,520
  6. Step 6: Final answer
    x = 1,566,420.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.