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Finding the Third Proportional to 324,534 and 713,004

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Solution

The third proportional to 324,534 and 713,004 is: 1,566,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,534 : 713,004 = 713,004 : x
  2. Step 2: Convert to fraction form
    324,534/713,004 = 713,004/x
  3. Step 3: Cross multiply
    324,534x = 713,004 × 713,004
  4. Step 4: Simplify right side
    324,534x = 508,374,704,016
  5. Step 5: Solve for x
    x = 508,374,704,016/324,534
  6. Step 6: Final answer
    x = 1,566,475.94

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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.