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Finding the Third Proportional to 217,026 and 473,256

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Solution

The third proportional to 217,026 and 473,256 is: 1,032,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,026 : 473,256 = 473,256 : x
  2. Step 2: Convert to fraction form
    217,026/473,256 = 473,256/x
  3. Step 3: Cross multiply
    217,026x = 473,256 × 473,256
  4. Step 4: Simplify right side
    217,026x = 223,971,241,536
  5. Step 5: Solve for x
    x = 223,971,241,536/217,026
  6. Step 6: Final answer
    x = 1,032,001.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.