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Finding the Third Proportional to 393,588 and 815,184

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Solution

The third proportional to 393,588 and 815,184 is: 1,688,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,588 : 815,184 = 815,184 : x
  2. Step 2: Convert to fraction form
    393,588/815,184 = 815,184/x
  3. Step 3: Cross multiply
    393,588x = 815,184 × 815,184
  4. Step 4: Simplify right side
    393,588x = 664,524,953,856
  5. Step 5: Solve for x
    x = 664,524,953,856/393,588
  6. Step 6: Final answer
    x = 1,688,377.07

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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.