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Finding the Third Proportional to 360,772 and 804,360

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Solution

The third proportional to 360,772 and 804,360 is: 1,793,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,772 : 804,360 = 804,360 : x
  2. Step 2: Convert to fraction form
    360,772/804,360 = 804,360/x
  3. Step 3: Cross multiply
    360,772x = 804,360 × 804,360
  4. Step 4: Simplify right side
    360,772x = 646,995,009,600
  5. Step 5: Solve for x
    x = 646,995,009,600/360,772
  6. Step 6: Final answer
    x = 1,793,362.59

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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.