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Finding the Third Proportional to 668,184 and 965,412

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Solution

The third proportional to 668,184 and 965,412 is: 1,394,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,184 : 965,412 = 965,412 : x
  2. Step 2: Convert to fraction form
    668,184/965,412 = 965,412/x
  3. Step 3: Cross multiply
    668,184x = 965,412 × 965,412
  4. Step 4: Simplify right side
    668,184x = 932,020,329,744
  5. Step 5: Solve for x
    x = 932,020,329,744/668,184
  6. Step 6: Final answer
    x = 1,394,855.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.