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Finding the Third Proportional to 238,470 and 492,060

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Solution

The third proportional to 238,470 and 492,060 is: 1,015,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,470 : 492,060 = 492,060 : x
  2. Step 2: Convert to fraction form
    238,470/492,060 = 492,060/x
  3. Step 3: Cross multiply
    238,470x = 492,060 × 492,060
  4. Step 4: Simplify right side
    238,470x = 242,123,043,600
  5. Step 5: Solve for x
    x = 242,123,043,600/238,470
  6. Step 6: Final answer
    x = 1,015,318.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.