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Finding the Third Proportional to 370,409 and 560,777

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Solution

The third proportional to 370,409 and 560,777 is: 848,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,409 : 560,777 = 560,777 : x
  2. Step 2: Convert to fraction form
    370,409/560,777 = 560,777/x
  3. Step 3: Cross multiply
    370,409x = 560,777 × 560,777
  4. Step 4: Simplify right side
    370,409x = 314,470,843,729
  5. Step 5: Solve for x
    x = 314,470,843,729/370,409
  6. Step 6: Final answer
    x = 848,982.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.