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Finding the Third Proportional to 691,501 and 932,194

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Solution

The third proportional to 691,501 and 932,194 is: 1,256,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,501 : 932,194 = 932,194 : x
  2. Step 2: Convert to fraction form
    691,501/932,194 = 932,194/x
  3. Step 3: Cross multiply
    691,501x = 932,194 × 932,194
  4. Step 4: Simplify right side
    691,501x = 868,985,653,636
  5. Step 5: Solve for x
    x = 868,985,653,636/691,501
  6. Step 6: Final answer
    x = 1,256,665.79

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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.