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Finding the Third Proportional to 217,532 and 446,776

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Solution

The third proportional to 217,532 and 446,776 is: 917,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,532 : 446,776 = 446,776 : x
  2. Step 2: Convert to fraction form
    217,532/446,776 = 446,776/x
  3. Step 3: Cross multiply
    217,532x = 446,776 × 446,776
  4. Step 4: Simplify right side
    217,532x = 199,608,794,176
  5. Step 5: Solve for x
    x = 199,608,794,176/217,532
  6. Step 6: Final answer
    x = 917,606.58

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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.