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Finding the Third Proportional to 668,196 and 965,430

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Solution

The third proportional to 668,196 and 965,430 is: 1,394,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,196 : 965,430 = 965,430 : x
  2. Step 2: Convert to fraction form
    668,196/965,430 = 965,430/x
  3. Step 3: Cross multiply
    668,196x = 965,430 × 965,430
  4. Step 4: Simplify right side
    668,196x = 932,055,084,900
  5. Step 5: Solve for x
    x = 932,055,084,900/668,196
  6. Step 6: Final answer
    x = 1,394,882.77

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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.