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Finding the Third Proportional to 217,445 and 441,004

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Solution

The third proportional to 217,445 and 441,004 is: 894,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,445 : 441,004 = 441,004 : x
  2. Step 2: Convert to fraction form
    217,445/441,004 = 441,004/x
  3. Step 3: Cross multiply
    217,445x = 441,004 × 441,004
  4. Step 4: Simplify right side
    217,445x = 194,484,528,016
  5. Step 5: Solve for x
    x = 194,484,528,016/217,445
  6. Step 6: Final answer
    x = 894,407.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.