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Finding the Third Proportional to 370,004 and 812,744

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Solution

The third proportional to 370,004 and 812,744 is: 1,785,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,004 : 812,744 = 812,744 : x
  2. Step 2: Convert to fraction form
    370,004/812,744 = 812,744/x
  3. Step 3: Cross multiply
    370,004x = 812,744 × 812,744
  4. Step 4: Simplify right side
    370,004x = 660,552,809,536
  5. Step 5: Solve for x
    x = 660,552,809,536/370,004
  6. Step 6: Final answer
    x = 1,785,258.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.