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Finding the Third Proportional to 360,774 and 804,364

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Solution

The third proportional to 360,774 and 804,364 is: 1,793,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,774 : 804,364 = 804,364 : x
  2. Step 2: Convert to fraction form
    360,774/804,364 = 804,364/x
  3. Step 3: Cross multiply
    360,774x = 804,364 × 804,364
  4. Step 4: Simplify right side
    360,774x = 647,001,444,496
  5. Step 5: Solve for x
    x = 647,001,444,496/360,774
  6. Step 6: Final answer
    x = 1,793,370.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.