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Finding the Third Proportional to 398,686.50 and 852,696

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Solution

The third proportional to 398,686.50 and 852,696 is: 1,823,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,686.50 : 852,696 = 852,696 : x
  2. Step 2: Convert to fraction form
    398,686.50/852,696 = 852,696/x
  3. Step 3: Cross multiply
    398,686.50x = 852,696 × 852,696
  4. Step 4: Simplify right side
    398,686.50x = 727,090,468,416
  5. Step 5: Solve for x
    x = 727,090,468,416/398,686.50
  6. Step 6: Final answer
    x = 1,823,714.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.