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Finding the Third Proportional to 216,276 and 474,654

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Solution

The third proportional to 216,276 and 474,654 is: 1,041,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,276 : 474,654 = 474,654 : x
  2. Step 2: Convert to fraction form
    216,276/474,654 = 474,654/x
  3. Step 3: Cross multiply
    216,276x = 474,654 × 474,654
  4. Step 4: Simplify right side
    216,276x = 225,296,419,716
  5. Step 5: Solve for x
    x = 225,296,419,716/216,276
  6. Step 6: Final answer
    x = 1,041,707.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.