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Finding the Third Proportional to 324,922 and 724,553

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Solution

The third proportional to 324,922 and 724,553 is: 1,615,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,922 : 724,553 = 724,553 : x
  2. Step 2: Convert to fraction form
    324,922/724,553 = 724,553/x
  3. Step 3: Cross multiply
    324,922x = 724,553 × 724,553
  4. Step 4: Simplify right side
    324,922x = 524,977,049,809
  5. Step 5: Solve for x
    x = 524,977,049,809/324,922
  6. Step 6: Final answer
    x = 1,615,701.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.