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Finding the Third Proportional to 400,788 and 846,288

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Solution

The third proportional to 400,788 and 846,288 is: 1,786,988.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,788 : 846,288 = 846,288 : x
  2. Step 2: Convert to fraction form
    400,788/846,288 = 846,288/x
  3. Step 3: Cross multiply
    400,788x = 846,288 × 846,288
  4. Step 4: Simplify right side
    400,788x = 716,203,378,944
  5. Step 5: Solve for x
    x = 716,203,378,944/400,788
  6. Step 6: Final answer
    x = 1,786,988.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.