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Finding the Third Proportional to 393,592 and 815,192

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Solution

The third proportional to 393,592 and 815,192 is: 1,688,393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,592 : 815,192 = 815,192 : x
  2. Step 2: Convert to fraction form
    393,592/815,192 = 815,192/x
  3. Step 3: Cross multiply
    393,592x = 815,192 × 815,192
  4. Step 4: Simplify right side
    393,592x = 664,537,996,864
  5. Step 5: Solve for x
    x = 664,537,996,864/393,592
  6. Step 6: Final answer
    x = 1,688,393.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.