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Finding the Third Proportional to 664,256 and 932,083

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Solution

The third proportional to 664,256 and 932,083 is: 1,307,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,256 : 932,083 = 932,083 : x
  2. Step 2: Convert to fraction form
    664,256/932,083 = 932,083/x
  3. Step 3: Cross multiply
    664,256x = 932,083 × 932,083
  4. Step 4: Simplify right side
    664,256x = 868,778,718,889
  5. Step 5: Solve for x
    x = 868,778,718,889/664,256
  6. Step 6: Final answer
    x = 1,307,897.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.