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Finding the Third Proportional to 215,430 and 474,276

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Solution

The third proportional to 215,430 and 474,276 is: 1,044,133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,430 : 474,276 = 474,276 : x
  2. Step 2: Convert to fraction form
    215,430/474,276 = 474,276/x
  3. Step 3: Cross multiply
    215,430x = 474,276 × 474,276
  4. Step 4: Simplify right side
    215,430x = 224,937,724,176
  5. Step 5: Solve for x
    x = 224,937,724,176/215,430
  6. Step 6: Final answer
    x = 1,044,133.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.