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Finding the Third Proportional to 215,808 and 474,444

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Solution

The third proportional to 215,808 and 474,444 is: 1,043,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,808 : 474,444 = 474,444 : x
  2. Step 2: Convert to fraction form
    215,808/474,444 = 474,444/x
  3. Step 3: Cross multiply
    215,808x = 474,444 × 474,444
  4. Step 4: Simplify right side
    215,808x = 225,097,109,136
  5. Step 5: Solve for x
    x = 225,097,109,136/215,808
  6. Step 6: Final answer
    x = 1,043,043.40

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Why These Related Problems?

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