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Finding the Third Proportional to 354,396 and 757,967

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Solution

The third proportional to 354,396 and 757,967 is: 1,621,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,396 : 757,967 = 757,967 : x
  2. Step 2: Convert to fraction form
    354,396/757,967 = 757,967/x
  3. Step 3: Cross multiply
    354,396x = 757,967 × 757,967
  4. Step 4: Simplify right side
    354,396x = 574,513,973,089
  5. Step 5: Solve for x
    x = 574,513,973,089/354,396
  6. Step 6: Final answer
    x = 1,621,107.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.