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Finding the Third Proportional to 217,528 and 446,768

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Solution

The third proportional to 217,528 and 446,768 is: 917,590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,528 : 446,768 = 446,768 : x
  2. Step 2: Convert to fraction form
    217,528/446,768 = 446,768/x
  3. Step 3: Cross multiply
    217,528x = 446,768 × 446,768
  4. Step 4: Simplify right side
    217,528x = 199,601,645,824
  5. Step 5: Solve for x
    x = 199,601,645,824/217,528
  6. Step 6: Final answer
    x = 917,590.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.