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Finding the Third Proportional to 327,139 and 492,346

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Solution

The third proportional to 327,139 and 492,346 is: 740,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,139 : 492,346 = 492,346 : x
  2. Step 2: Convert to fraction form
    327,139/492,346 = 492,346/x
  3. Step 3: Cross multiply
    327,139x = 492,346 × 492,346
  4. Step 4: Simplify right side
    327,139x = 242,404,583,716
  5. Step 5: Solve for x
    x = 242,404,583,716/327,139
  6. Step 6: Final answer
    x = 740,983.45

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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.