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Finding the Third Proportional to 357,964 and 771,975

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Solution

The third proportional to 357,964 and 771,975 is: 1,664,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,964 : 771,975 = 771,975 : x
  2. Step 2: Convert to fraction form
    357,964/771,975 = 771,975/x
  3. Step 3: Cross multiply
    357,964x = 771,975 × 771,975
  4. Step 4: Simplify right side
    357,964x = 595,945,400,625
  5. Step 5: Solve for x
    x = 595,945,400,625/357,964
  6. Step 6: Final answer
    x = 1,664,819.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.