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Finding the Third Proportional to 488,232 and 739,233

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Solution

The third proportional to 488,232 and 739,233 is: 1,119,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,232 : 739,233 = 739,233 : x
  2. Step 2: Convert to fraction form
    488,232/739,233 = 739,233/x
  3. Step 3: Cross multiply
    488,232x = 739,233 × 739,233
  4. Step 4: Simplify right side
    488,232x = 546,465,428,289
  5. Step 5: Solve for x
    x = 546,465,428,289/488,232
  6. Step 6: Final answer
    x = 1,119,274.09

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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.