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Finding the Third Proportional to 217,034 and 476,087

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Solution

The third proportional to 217,034 and 476,087 is: 1,044,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,034 : 476,087 = 476,087 : x
  2. Step 2: Convert to fraction form
    217,034/476,087 = 476,087/x
  3. Step 3: Cross multiply
    217,034x = 476,087 × 476,087
  4. Step 4: Simplify right side
    217,034x = 226,658,831,569
  5. Step 5: Solve for x
    x = 226,658,831,569/217,034
  6. Step 6: Final answer
    x = 1,044,347.11

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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.