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Finding the Third Proportional to 691,503 and 932,197

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Solution

The third proportional to 691,503 and 932,197 is: 1,256,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,503 : 932,197 = 932,197 : x
  2. Step 2: Convert to fraction form
    691,503/932,197 = 932,197/x
  3. Step 3: Cross multiply
    691,503x = 932,197 × 932,197
  4. Step 4: Simplify right side
    691,503x = 868,991,246,809
  5. Step 5: Solve for x
    x = 868,991,246,809/691,503
  6. Step 6: Final answer
    x = 1,256,670.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.