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Finding the Third Proportional to 322,893 and 709,947

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Solution

The third proportional to 322,893 and 709,947 is: 1,560,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,893 : 709,947 = 709,947 : x
  2. Step 2: Convert to fraction form
    322,893/709,947 = 709,947/x
  3. Step 3: Cross multiply
    322,893x = 709,947 × 709,947
  4. Step 4: Simplify right side
    322,893x = 504,024,742,809
  5. Step 5: Solve for x
    x = 504,024,742,809/322,893
  6. Step 6: Final answer
    x = 1,560,965.22

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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.