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Finding the Third Proportional to 365,811 and 562,983

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Solution

The third proportional to 365,811 and 562,983 is: 866,430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,811 : 562,983 = 562,983 : x
  2. Step 2: Convert to fraction form
    365,811/562,983 = 562,983/x
  3. Step 3: Cross multiply
    365,811x = 562,983 × 562,983
  4. Step 4: Simplify right side
    365,811x = 316,949,858,289
  5. Step 5: Solve for x
    x = 316,949,858,289/365,811
  6. Step 6: Final answer
    x = 866,430.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.