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Finding the Third Proportional to 183,984 and 429,948

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Solution

The third proportional to 183,984 and 429,948 is: 1,004,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,984 : 429,948 = 429,948 : x
  2. Step 2: Convert to fraction form
    183,984/429,948 = 429,948/x
  3. Step 3: Cross multiply
    183,984x = 429,948 × 429,948
  4. Step 4: Simplify right side
    183,984x = 184,855,282,704
  5. Step 5: Solve for x
    x = 184,855,282,704/183,984
  6. Step 6: Final answer
    x = 1,004,735.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.