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Finding the Third Proportional to 183,113 and 440,984

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Solution

The third proportional to 183,113 and 440,984 is: 1,062,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,113 : 440,984 = 440,984 : x
  2. Step 2: Convert to fraction form
    183,113/440,984 = 440,984/x
  3. Step 3: Cross multiply
    183,113x = 440,984 × 440,984
  4. Step 4: Simplify right side
    183,113x = 194,466,888,256
  5. Step 5: Solve for x
    x = 194,466,888,256/183,113
  6. Step 6: Final answer
    x = 1,062,004.82

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.